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Finding the Third Proportional to 37,970,188.88 and 82,840,195.13

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Solution

The third proportional to 37,970,188.88 and 82,840,195.13 is: 180,733,837.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,970,188.88 : 82,840,195.13 = 82,840,195.13 : x
  2. Step 2: Convert to fraction form
    37,970,188.88/82,840,195.13 = 82,840,195.13/x
  3. Step 3: Cross multiply
    37,970,188.88x = 82,840,195.13 × 82,840,195.13
  4. Step 4: Simplify right side
    37,970,188.88x = 6,862,497,928,348,074
  5. Step 5: Solve for x
    x = 6,862,497,928,348,074/37,970,188.88
  6. Step 6: Final answer
    x = 180,733,837.04

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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.