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Finding the Third Proportional to 10,149,692 and 21,982,282

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Solution

The third proportional to 10,149,692 and 21,982,282 is: 47,609,397.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149,692 : 21,982,282 = 21,982,282 : x
  2. Step 2: Convert to fraction form
    10,149,692/21,982,282 = 21,982,282/x
  3. Step 3: Cross multiply
    10,149,692x = 21,982,282 × 21,982,282
  4. Step 4: Simplify right side
    10,149,692x = 483,220,721,927,524
  5. Step 5: Solve for x
    x = 483,220,721,927,524/10,149,692
  6. Step 6: Final answer
    x = 47,609,397.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.