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Finding the Third Proportional to 247,928,529 and 540,498,163.50

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Solution

The third proportional to 247,928,529 and 540,498,163.50 is: 1,178,316,452.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,928,529 : 540,498,163.50 = 540,498,163.50 : x
  2. Step 2: Convert to fraction form
    247,928,529/540,498,163.50 = 540,498,163.50/x
  3. Step 3: Cross multiply
    247,928,529x = 540,498,163.50 × 540,498,163.50
  4. Step 4: Simplify right side
    247,928,529x = 292,138,264,746,872,704
  5. Step 5: Solve for x
    x = 292,138,264,746,872,704/247,928,529
  6. Step 6: Final answer
    x = 1,178,316,452.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.