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Finding the Third Proportional to 54,962,079 and 83,732,571

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Solution

The third proportional to 54,962,079 and 83,732,571 is: 127,563,286.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,962,079 : 83,732,571 = 83,732,571 : x
  2. Step 2: Convert to fraction form
    54,962,079/83,732,571 = 83,732,571/x
  3. Step 3: Cross multiply
    54,962,079x = 83,732,571 × 83,732,571
  4. Step 4: Simplify right side
    54,962,079x = 7,011,143,446,270,041
  5. Step 5: Solve for x
    x = 7,011,143,446,270,041/54,962,079
  6. Step 6: Final answer
    x = 127,563,286.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.