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Finding the Third Proportional to 278,617,350.86 and 600,861,972.71

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Solution

The third proportional to 278,617,350.86 and 600,861,972.71 is: 1,295,809,859.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,617,350.86 : 600,861,972.71 = 600,861,972.71 : x
  2. Step 2: Convert to fraction form
    278,617,350.86/600,861,972.71 = 600,861,972.71/x
  3. Step 3: Cross multiply
    278,617,350.86x = 600,861,972.71 × 600,861,972.71
  4. Step 4: Simplify right side
    278,617,350.86x = 361,035,110,246,429,248
  5. Step 5: Solve for x
    x = 361,035,110,246,429,248/278,617,350.86
  6. Step 6: Final answer
    x = 1,295,809,859.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.