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Finding the Third Proportional to 10,149,728 and 21,982,346

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Solution

The third proportional to 10,149,728 and 21,982,346 is: 47,609,505.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149,728 : 21,982,346 = 21,982,346 : x
  2. Step 2: Convert to fraction form
    10,149,728/21,982,346 = 21,982,346/x
  3. Step 3: Cross multiply
    10,149,728x = 21,982,346 × 21,982,346
  4. Step 4: Simplify right side
    10,149,728x = 483,223,535,663,716
  5. Step 5: Solve for x
    x = 483,223,535,663,716/10,149,728
  6. Step 6: Final answer
    x = 47,609,505.96

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