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Finding the Third Proportional to 31,575,144 and 68,022,972

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Solution

The third proportional to 31,575,144 and 68,022,972 is: 146,543,265.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,575,144 : 68,022,972 = 68,022,972 : x
  2. Step 2: Convert to fraction form
    31,575,144/68,022,972 = 68,022,972/x
  3. Step 3: Cross multiply
    31,575,144x = 68,022,972 × 68,022,972
  4. Step 4: Simplify right side
    31,575,144x = 4,627,124,719,712,784
  5. Step 5: Solve for x
    x = 4,627,124,719,712,784/31,575,144
  6. Step 6: Final answer
    x = 146,543,265.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.