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Finding the Third Proportional to 29,913,059.25 and 65,067,178.50

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Solution

The third proportional to 29,913,059.25 and 65,067,178.50 is: 141,534,761.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,913,059.25 : 65,067,178.50 = 65,067,178.50 : x
  2. Step 2: Convert to fraction form
    29,913,059.25/65,067,178.50 = 65,067,178.50/x
  3. Step 3: Cross multiply
    29,913,059.25x = 65,067,178.50 × 65,067,178.50
  4. Step 4: Simplify right side
    29,913,059.25x = 4,233,737,717,950,862
  5. Step 5: Solve for x
    x = 4,233,737,717,950,862/29,913,059.25
  6. Step 6: Final answer
    x = 141,534,761.88

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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.