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Finding the Third Proportional to 245,744,766 and 527,958,720

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Solution

The third proportional to 245,744,766 and 527,958,720 is: 1,134,267,942.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,744,766 : 527,958,720 = 527,958,720 : x
  2. Step 2: Convert to fraction form
    245,744,766/527,958,720 = 527,958,720/x
  3. Step 3: Cross multiply
    245,744,766x = 527,958,720 × 527,958,720
  4. Step 4: Simplify right side
    245,744,766x = 278,740,410,024,038,400
  5. Step 5: Solve for x
    x = 278,740,410,024,038,400/245,744,766
  6. Step 6: Final answer
    x = 1,134,267,942.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.