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Finding the Third Proportional to 3,696,423,764 and 8,717,116,403

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Solution

The third proportional to 3,696,423,764 and 8,717,116,403 is: 20,557,198,858.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696,423,764 : 8,717,116,403 = 8,717,116,403 : x
  2. Step 2: Convert to fraction form
    3,696,423,764/8,717,116,403 = 8,717,116,403/x
  3. Step 3: Cross multiply
    3,696,423,764x = 8,717,116,403 × 8,717,116,403
  4. Step 4: Simplify right side
    3,696,423,764x = 75,988,118,383,451,652,096
  5. Step 5: Solve for x
    x = 75,988,118,383,451,652,096/3,696,423,764
  6. Step 6: Final answer
    x = 20,557,198,858.94

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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.