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Finding the Third Proportional to 29,866,365 and 65,161,548

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Solution

The third proportional to 29,866,365 and 65,161,548 is: 142,167,529.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,866,365 : 65,161,548 = 65,161,548 : x
  2. Step 2: Convert to fraction form
    29,866,365/65,161,548 = 65,161,548/x
  3. Step 3: Cross multiply
    29,866,365x = 65,161,548 × 65,161,548
  4. Step 4: Simplify right side
    29,866,365x = 4,246,027,337,756,304
  5. Step 5: Solve for x
    x = 4,246,027,337,756,304/29,866,365
  6. Step 6: Final answer
    x = 142,167,529.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.