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Finding the Third Proportional to 39,482,169 and 85,206,872

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Solution

The third proportional to 39,482,169 and 85,206,872 is: 183,885,820.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,482,169 : 85,206,872 = 85,206,872 : x
  2. Step 2: Convert to fraction form
    39,482,169/85,206,872 = 85,206,872/x
  3. Step 3: Cross multiply
    39,482,169x = 85,206,872 × 85,206,872
  4. Step 4: Simplify right side
    39,482,169x = 7,260,211,036,024,384
  5. Step 5: Solve for x
    x = 7,260,211,036,024,384/39,482,169
  6. Step 6: Final answer
    x = 183,885,820.36

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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.