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Finding the Third Proportional to 9,590,933,889,406 and 20,710,496,305,208

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Solution

The third proportional to 9,590,933,889,406 and 20,710,496,305,208 is: 44,721,886,539,309.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590,933,889,406 : 20,710,496,305,208 = 20,710,496,305,208 : x
  2. Step 2: Convert to fraction form
    9,590,933,889,406/20,710,496,305,208 = 20,710,496,305,208/x
  3. Step 3: Cross multiply
    9,590,933,889,406x = 20,710,496,305,208 × 20,710,496,305,208
  4. Step 4: Simplify right side
    9,590,933,889,406x = 428,924,657,208,034,225,815,552,000
  5. Step 5: Solve for x
    x = 428,924,657,208,034,225,815,552,000/9,590,933,889,406
  6. Step 6: Final answer
    x = 44,721,886,539,309.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.