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Finding the Third Proportional to 536,664,542 and 1,159,496,182

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Solution

The third proportional to 536,664,542 and 1,159,496,182 is: 2,505,161,587.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,664,542 : 1,159,496,182 = 1,159,496,182 : x
  2. Step 2: Convert to fraction form
    536,664,542/1,159,496,182 = 1,159,496,182/x
  3. Step 3: Cross multiply
    536,664,542x = 1,159,496,182 × 1,159,496,182
  4. Step 4: Simplify right side
    536,664,542x = 1,344,431,396,072,577,024
  5. Step 5: Solve for x
    x = 1,344,431,396,072,577,024/536,664,542
  6. Step 6: Final answer
    x = 2,505,161,587.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.