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Finding the Third Proportional to 245,720,432 and 537,723,616

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Solution

The third proportional to 245,720,432 and 537,723,616 is: 1,176,730,338.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,720,432 : 537,723,616 = 537,723,616 : x
  2. Step 2: Convert to fraction form
    245,720,432/537,723,616 = 537,723,616/x
  3. Step 3: Cross multiply
    245,720,432x = 537,723,616 × 537,723,616
  4. Step 4: Simplify right side
    245,720,432x = 289,146,687,204,115,456
  5. Step 5: Solve for x
    x = 289,146,687,204,115,456/245,720,432
  6. Step 6: Final answer
    x = 1,176,730,338.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.