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Finding the Third Proportional to 3,786,471,519 and 5,658,514,838

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Solution

The third proportional to 3,786,471,519 and 5,658,514,838 is: 8,456,102,207.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786,471,519 : 5,658,514,838 = 5,658,514,838 : x
  2. Step 2: Convert to fraction form
    3,786,471,519/5,658,514,838 = 5,658,514,838/x
  3. Step 3: Cross multiply
    3,786,471,519x = 5,658,514,838 × 5,658,514,838
  4. Step 4: Simplify right side
    3,786,471,519x = 32,018,790,171,866,165,248
  5. Step 5: Solve for x
    x = 32,018,790,171,866,165,248/3,786,471,519
  6. Step 6: Final answer
    x = 8,456,102,207.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.