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Finding the Third Proportional to 3,696,423,762 and 8,717,116,398

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Solution

The third proportional to 3,696,423,762 and 8,717,116,398 is: 20,557,198,846.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696,423,762 : 8,717,116,398 = 8,717,116,398 : x
  2. Step 2: Convert to fraction form
    3,696,423,762/8,717,116,398 = 8,717,116,398/x
  3. Step 3: Cross multiply
    3,696,423,762x = 8,717,116,398 × 8,717,116,398
  4. Step 4: Simplify right side
    3,696,423,762x = 75,988,118,296,280,498,176
  5. Step 5: Solve for x
    x = 75,988,118,296,280,498,176/3,696,423,762
  6. Step 6: Final answer
    x = 20,557,198,846.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.