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Finding the Third Proportional to 61,517,866 and 145,218,718

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Solution

The third proportional to 61,517,866 and 145,218,718 is: 342,802,464.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,517,866 : 145,218,718 = 145,218,718 : x
  2. Step 2: Convert to fraction form
    61,517,866/145,218,718 = 145,218,718/x
  3. Step 3: Cross multiply
    61,517,866x = 145,218,718 × 145,218,718
  4. Step 4: Simplify right side
    61,517,866x = 21,088,476,057,563,524
  5. Step 5: Solve for x
    x = 21,088,476,057,563,524/61,517,866
  6. Step 6: Final answer
    x = 342,802,464.21

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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.