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Finding the Third Proportional to 73,624,563 and 160,177,374

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Solution

The third proportional to 73,624,563 and 160,177,374 is: 348,481,404.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,624,563 : 160,177,374 = 160,177,374 : x
  2. Step 2: Convert to fraction form
    73,624,563/160,177,374 = 160,177,374/x
  3. Step 3: Cross multiply
    73,624,563x = 160,177,374 × 160,177,374
  4. Step 4: Simplify right side
    73,624,563x = 25,656,791,141,535,876
  5. Step 5: Solve for x
    x = 25,656,791,141,535,876/73,624,563
  6. Step 6: Final answer
    x = 348,481,404.79

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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.