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Finding the Third Proportional to 29,913,152.50 and 65,067,374

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Solution

The third proportional to 29,913,152.50 and 65,067,374 is: 141,535,171.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,913,152.50 : 65,067,374 = 65,067,374 : x
  2. Step 2: Convert to fraction form
    29,913,152.50/65,067,374 = 65,067,374/x
  3. Step 3: Cross multiply
    29,913,152.50x = 65,067,374 × 65,067,374
  4. Step 4: Simplify right side
    29,913,152.50x = 4,233,763,159,255,876
  5. Step 5: Solve for x
    x = 4,233,763,159,255,876/29,913,152.50
  6. Step 6: Final answer
    x = 141,535,171.17

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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.