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Finding the Third Proportional to 80,417,719 and 175,582,927

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Solution

The third proportional to 80,417,719 and 175,582,927 is: 383,365,315.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,417,719 : 175,582,927 = 175,582,927 : x
  2. Step 2: Convert to fraction form
    80,417,719/175,582,927 = 175,582,927/x
  3. Step 3: Cross multiply
    80,417,719x = 175,582,927 × 175,582,927
  4. Step 4: Simplify right side
    80,417,719x = 30,829,364,253,887,328
  5. Step 5: Solve for x
    x = 30,829,364,253,887,328/80,417,719
  6. Step 6: Final answer
    x = 383,365,315.97

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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.