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Finding the Third Proportional to 10,466,538 and 22,175,872

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Solution

The third proportional to 10,466,538 and 22,175,872 is: 46,984,905.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466,538 : 22,175,872 = 22,175,872 : x
  2. Step 2: Convert to fraction form
    10,466,538/22,175,872 = 22,175,872/x
  3. Step 3: Cross multiply
    10,466,538x = 22,175,872 × 22,175,872
  4. Step 4: Simplify right side
    10,466,538x = 491,769,298,960,384
  5. Step 5: Solve for x
    x = 491,769,298,960,384/10,466,538
  6. Step 6: Final answer
    x = 46,984,905.51

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.