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Finding the Third Proportional to 247,468,650.75 and 537,500,616.75

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Solution

The third proportional to 247,468,650.75 and 537,500,616.75 is: 1,167,448,531.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,468,650.75 : 537,500,616.75 = 537,500,616.75 : x
  2. Step 2: Convert to fraction form
    247,468,650.75/537,500,616.75 = 537,500,616.75/x
  3. Step 3: Cross multiply
    247,468,650.75x = 537,500,616.75 × 537,500,616.75
  4. Step 4: Simplify right side
    247,468,650.75x = 288,906,913,006,630,400
  5. Step 5: Solve for x
    x = 288,906,913,006,630,400/247,468,650.75
  6. Step 6: Final answer
    x = 1,167,448,531.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.