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Finding the Third Proportional to 61,517,862 and 145,218,708

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Solution

The third proportional to 61,517,862 and 145,218,708 is: 342,802,439.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,517,862 : 145,218,708 = 145,218,708 : x
  2. Step 2: Convert to fraction form
    61,517,862/145,218,708 = 145,218,708/x
  3. Step 3: Cross multiply
    61,517,862x = 145,218,708 × 145,218,708
  4. Step 4: Simplify right side
    61,517,862x = 21,088,473,153,189,264
  5. Step 5: Solve for x
    x = 21,088,473,153,189,264/61,517,862
  6. Step 6: Final answer
    x = 342,802,439.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.