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Finding the Third Proportional to 519,809,677 and 1,225,844,672.50

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Solution

The third proportional to 519,809,677 and 1,225,844,672.50 is: 2,890,856,456.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,809,677 : 1,225,844,672.50 = 1,225,844,672.50 : x
  2. Step 2: Convert to fraction form
    519,809,677/1,225,844,672.50 = 1,225,844,672.50/x
  3. Step 3: Cross multiply
    519,809,677x = 1,225,844,672.50 × 1,225,844,672.50
  4. Step 4: Simplify right side
    519,809,677x = 1,502,695,161,096,632,320
  5. Step 5: Solve for x
    x = 1,502,695,161,096,632,320/519,809,677
  6. Step 6: Final answer
    x = 2,890,856,456.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.