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Finding the Third Proportional to 37,752,228 and 82,707,457.50

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Solution

The third proportional to 37,752,228 and 82,707,457.50 is: 181,195,227.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,752,228 : 82,707,457.50 = 82,707,457.50 : x
  2. Step 2: Convert to fraction form
    37,752,228/82,707,457.50 = 82,707,457.50/x
  3. Step 3: Cross multiply
    37,752,228x = 82,707,457.50 × 82,707,457.50
  4. Step 4: Simplify right side
    37,752,228x = 6,840,523,526,114,306
  5. Step 5: Solve for x
    x = 6,840,523,526,114,306/37,752,228
  6. Step 6: Final answer
    x = 181,195,227.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.