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Finding the Third Proportional to 3,238,985,525,674.50 and 6,746,059,979,128

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Solution

The third proportional to 3,238,985,525,674.50 and 6,746,059,979,128 is: 14,050,487,376,758.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238,985,525,674.50 : 6,746,059,979,128 = 6,746,059,979,128 : x
  2. Step 2: Convert to fraction form
    3,238,985,525,674.50/6,746,059,979,128 = 6,746,059,979,128/x
  3. Step 3: Cross multiply
    3,238,985,525,674.50x = 6,746,059,979,128 × 6,746,059,979,128
  4. Step 4: Simplify right side
    3,238,985,525,674.50x = 45,509,325,241,992,474,299,203,584
  5. Step 5: Solve for x
    x = 45,509,325,241,992,474,299,203,584/3,238,985,525,674.50
  6. Step 6: Final answer
    x = 14,050,487,376,758.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.