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Finding the Third Proportional to 247,468,641.75 and 537,500,598.75

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Solution

The third proportional to 247,468,641.75 and 537,500,598.75 is: 1,167,448,496.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,468,641.75 : 537,500,598.75 = 537,500,598.75 : x
  2. Step 2: Convert to fraction form
    247,468,641.75/537,500,598.75 = 537,500,598.75/x
  3. Step 3: Cross multiply
    247,468,641.75x = 537,500,598.75 × 537,500,598.75
  4. Step 4: Simplify right side
    247,468,641.75x = 288,906,893,656,608,512
  5. Step 5: Solve for x
    x = 288,906,893,656,608,512/247,468,641.75
  6. Step 6: Final answer
    x = 1,167,448,496.16

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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.