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Finding the Third Proportional to 10,832,324 and 15,916,790

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Solution

The third proportional to 10,832,324 and 15,916,790 is: 23,387,797.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832,324 : 15,916,790 = 15,916,790 : x
  2. Step 2: Convert to fraction form
    10,832,324/15,916,790 = 15,916,790/x
  3. Step 3: Cross multiply
    10,832,324x = 15,916,790 × 15,916,790
  4. Step 4: Simplify right side
    10,832,324x = 253,344,203,904,100
  5. Step 5: Solve for x
    x = 253,344,203,904,100/10,832,324
  6. Step 6: Final answer
    x = 23,387,797.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.