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Finding the Third Proportional to 3,696,423,766 and 8,717,116,408

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Solution

The third proportional to 3,696,423,766 and 8,717,116,408 is: 20,557,198,871.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696,423,766 : 8,717,116,408 = 8,717,116,408 : x
  2. Step 2: Convert to fraction form
    3,696,423,766/8,717,116,408 = 8,717,116,408/x
  3. Step 3: Cross multiply
    3,696,423,766x = 8,717,116,408 × 8,717,116,408
  4. Step 4: Simplify right side
    3,696,423,766x = 75,988,118,470,622,822,400
  5. Step 5: Solve for x
    x = 75,988,118,470,622,822,400/3,696,423,766
  6. Step 6: Final answer
    x = 20,557,198,871.40

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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.