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Finding the Third Proportional to 365,235,909 and 782,187,680

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Solution

The third proportional to 365,235,909 and 782,187,680 is: 1,675,129,831.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,235,909 : 782,187,680 = 782,187,680 : x
  2. Step 2: Convert to fraction form
    365,235,909/782,187,680 = 782,187,680/x
  3. Step 3: Cross multiply
    365,235,909x = 782,187,680 × 782,187,680
  4. Step 4: Simplify right side
    365,235,909x = 611,817,566,743,782,400
  5. Step 5: Solve for x
    x = 611,817,566,743,782,400/365,235,909
  6. Step 6: Final answer
    x = 1,675,129,831.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.