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Finding the Third Proportional to 42,534,283 and 65,988,505

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Solution

The third proportional to 42,534,283 and 65,988,505 is: 102,375,836.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,534,283 : 65,988,505 = 65,988,505 : x
  2. Step 2: Convert to fraction form
    42,534,283/65,988,505 = 65,988,505/x
  3. Step 3: Cross multiply
    42,534,283x = 65,988,505 × 65,988,505
  4. Step 4: Simplify right side
    42,534,283x = 4,354,482,792,135,025
  5. Step 5: Solve for x
    x = 4,354,482,792,135,025/42,534,283
  6. Step 6: Final answer
    x = 102,375,836.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.