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Finding the Third Proportional to 313,706,052 and 474,593,757

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Solution

The third proportional to 313,706,052 and 474,593,757 is: 717,994,545.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,706,052 : 474,593,757 = 474,593,757 : x
  2. Step 2: Convert to fraction form
    313,706,052/474,593,757 = 474,593,757/x
  3. Step 3: Cross multiply
    313,706,052x = 474,593,757 × 474,593,757
  4. Step 4: Simplify right side
    313,706,052x = 225,239,234,183,375,040
  5. Step 5: Solve for x
    x = 225,239,234,183,375,040/313,706,052
  6. Step 6: Final answer
    x = 717,994,545.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.