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Finding the Third Proportional to 37,941,306.75 and 81,637,110

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Solution

The third proportional to 37,941,306.75 and 81,637,110 is: 175,655,988.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,941,306.75 : 81,637,110 = 81,637,110 : x
  2. Step 2: Convert to fraction form
    37,941,306.75/81,637,110 = 81,637,110/x
  3. Step 3: Cross multiply
    37,941,306.75x = 81,637,110 × 81,637,110
  4. Step 4: Simplify right side
    37,941,306.75x = 6,664,617,729,152,100
  5. Step 5: Solve for x
    x = 6,664,617,729,152,100/37,941,306.75
  6. Step 6: Final answer
    x = 175,655,988.16

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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.