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Finding the Third Proportional to 5,020,553,314 and 10,945,088,741

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Solution

The third proportional to 5,020,553,314 and 10,945,088,741 is: 23,860,909,357.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,020,553,314 : 10,945,088,741 = 10,945,088,741 : x
  2. Step 2: Convert to fraction form
    5,020,553,314/10,945,088,741 = 10,945,088,741/x
  3. Step 3: Cross multiply
    5,020,553,314x = 10,945,088,741 × 10,945,088,741
  4. Step 4: Simplify right side
    5,020,553,314x = 119,794,967,548,364,963,840
  5. Step 5: Solve for x
    x = 119,794,967,548,364,963,840/5,020,553,314
  6. Step 6: Final answer
    x = 23,860,909,357.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.