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Finding the Third Proportional to 29,934,474.75 and 41,706,262.13

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Solution

The third proportional to 29,934,474.75 and 41,706,262.13 is: 58,107,326.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,934,474.75 : 41,706,262.13 = 41,706,262.13 : x
  2. Step 2: Convert to fraction form
    29,934,474.75/41,706,262.13 = 41,706,262.13/x
  3. Step 3: Cross multiply
    29,934,474.75x = 41,706,262.13 × 41,706,262.13
  4. Step 4: Simplify right side
    29,934,474.75x = 1,739,412,300,439,209.50
  5. Step 5: Solve for x
    x = 1,739,412,300,439,209.50/29,934,474.75
  6. Step 6: Final answer
    x = 58,107,326.58

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.