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Finding the Third Proportional to 37,699,488 and 81,414,720

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Solution

The third proportional to 37,699,488 and 81,414,720 is: 175,820,866.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,699,488 : 81,414,720 = 81,414,720 : x
  2. Step 2: Convert to fraction form
    37,699,488/81,414,720 = 81,414,720/x
  3. Step 3: Cross multiply
    37,699,488x = 81,414,720 × 81,414,720
  4. Step 4: Simplify right side
    37,699,488x = 6,628,356,632,678,400
  5. Step 5: Solve for x
    x = 6,628,356,632,678,400/37,699,488
  6. Step 6: Final answer
    x = 175,820,866.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.