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Finding the Third Proportional to 3,676,904,378 and 5,502,329,169

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Solution

The third proportional to 3,676,904,378 and 5,502,329,169 is: 8,233,998,813.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676,904,378 : 5,502,329,169 = 5,502,329,169 : x
  2. Step 2: Convert to fraction form
    3,676,904,378/5,502,329,169 = 5,502,329,169/x
  3. Step 3: Cross multiply
    3,676,904,378x = 5,502,329,169 × 5,502,329,169
  4. Step 4: Simplify right side
    3,676,904,378x = 30,275,626,284,028,231,680
  5. Step 5: Solve for x
    x = 30,275,626,284,028,231,680/3,676,904,378
  6. Step 6: Final answer
    x = 8,233,998,813.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.