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Finding the Third Proportional to 10,144,682 and 20,643,651

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Solution

The third proportional to 10,144,682 and 20,643,651 is: 42,008,248.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144,682 : 20,643,651 = 20,643,651 : x
  2. Step 2: Convert to fraction form
    10,144,682/20,643,651 = 20,643,651/x
  3. Step 3: Cross multiply
    10,144,682x = 20,643,651 × 20,643,651
  4. Step 4: Simplify right side
    10,144,682x = 426,160,326,609,801
  5. Step 5: Solve for x
    x = 426,160,326,609,801/10,144,682
  6. Step 6: Final answer
    x = 42,008,248.91

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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.