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Finding the Third Proportional to 363,498,123 and 782,423,574

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Solution

The third proportional to 363,498,123 and 782,423,574 is: 1,684,153,535.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,498,123 : 782,423,574 = 782,423,574 : x
  2. Step 2: Convert to fraction form
    363,498,123/782,423,574 = 782,423,574/x
  3. Step 3: Cross multiply
    363,498,123x = 782,423,574 × 782,423,574
  4. Step 4: Simplify right side
    363,498,123x = 612,186,649,150,933,504
  5. Step 5: Solve for x
    x = 612,186,649,150,933,504/363,498,123
  6. Step 6: Final answer
    x = 1,684,153,535.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.