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Finding the Third Proportional to 10,144,684 and 20,643,655

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Solution

The third proportional to 10,144,684 and 20,643,655 is: 42,008,256.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144,684 : 20,643,655 = 20,643,655 : x
  2. Step 2: Convert to fraction form
    10,144,684/20,643,655 = 20,643,655/x
  3. Step 3: Cross multiply
    10,144,684x = 20,643,655 × 20,643,655
  4. Step 4: Simplify right side
    10,144,684x = 426,160,491,759,025
  5. Step 5: Solve for x
    x = 426,160,491,759,025/10,144,684
  6. Step 6: Final answer
    x = 42,008,256.91

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.