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Finding the Third Proportional to 37,720,716 and 82,502,526

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Solution

The third proportional to 37,720,716 and 82,502,526 is: 180,449,034.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,720,716 : 82,502,526 = 82,502,526 : x
  2. Step 2: Convert to fraction form
    37,720,716/82,502,526 = 82,502,526/x
  3. Step 3: Cross multiply
    37,720,716x = 82,502,526 × 82,502,526
  4. Step 4: Simplify right side
    37,720,716x = 6,806,666,796,380,676
  5. Step 5: Solve for x
    x = 6,806,666,796,380,676/37,720,716
  6. Step 6: Final answer
    x = 180,449,034.86

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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.