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Finding the Third Proportional to 6,505,016,710,000.40 and 9,841,188,493,030.40

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Solution

The third proportional to 6,505,016,710,000.40 and 9,841,188,493,030.40 is: 14,888,353,907,909.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505,016,710,000.40 : 9,841,188,493,030.40 = 9,841,188,493,030.40 : x
  2. Step 2: Convert to fraction form
    6,505,016,710,000.40/9,841,188,493,030.40 = 9,841,188,493,030.40/x
  3. Step 3: Cross multiply
    6,505,016,710,000.40x = 9,841,188,493,030.40 × 9,841,188,493,030.40
  4. Step 4: Simplify right side
    6,505,016,710,000.40x = 96,848,990,955,353,957,529,026,560
  5. Step 5: Solve for x
    x = 96,848,990,955,353,957,529,026,560/6,505,016,710,000.40
  6. Step 6: Final answer
    x = 14,888,353,907,909.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.