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Finding the Third Proportional to 3,777,526,479.38 and 8,085,705,616.13

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Solution

The third proportional to 3,777,526,479.38 and 8,085,705,616.13 is: 17,307,260,628.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777,526,479.38 : 8,085,705,616.13 = 8,085,705,616.13 : x
  2. Step 2: Convert to fraction form
    3,777,526,479.38/8,085,705,616.13 = 8,085,705,616.13/x
  3. Step 3: Cross multiply
    3,777,526,479.38x = 8,085,705,616.13 × 8,085,705,616.13
  4. Step 4: Simplify right side
    3,777,526,479.38x = 65,378,635,310,635,368,448
  5. Step 5: Solve for x
    x = 65,378,635,310,635,368,448/3,777,526,479.38
  6. Step 6: Final answer
    x = 17,307,260,628.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.