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Finding the Third Proportional to 39,482,144 and 85,206,822

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Solution

The third proportional to 39,482,144 and 85,206,822 is: 183,885,720.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,482,144 : 85,206,822 = 85,206,822 : x
  2. Step 2: Convert to fraction form
    39,482,144/85,206,822 = 85,206,822/x
  3. Step 3: Cross multiply
    39,482,144x = 85,206,822 × 85,206,822
  4. Step 4: Simplify right side
    39,482,144x = 7,260,202,515,339,684
  5. Step 5: Solve for x
    x = 7,260,202,515,339,684/39,482,144
  6. Step 6: Final answer
    x = 183,885,720.98

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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.