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Finding the Third Proportional to 10,144,685 and 20,643,657

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Solution

The third proportional to 10,144,685 and 20,643,657 is: 42,008,260.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144,685 : 20,643,657 = 20,643,657 : x
  2. Step 2: Convert to fraction form
    10,144,685/20,643,657 = 20,643,657/x
  3. Step 3: Cross multiply
    10,144,685x = 20,643,657 × 20,643,657
  4. Step 4: Simplify right side
    10,144,685x = 426,160,574,333,649
  5. Step 5: Solve for x
    x = 426,160,574,333,649/10,144,685
  6. Step 6: Final answer
    x = 42,008,260.91

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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.