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Finding the Third Proportional to 8,329,681,782 and 18,017,988,304

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Solution

The third proportional to 8,329,681,782 and 18,017,988,304 is: 38,974,826,532.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329,681,782 : 18,017,988,304 = 18,017,988,304 : x
  2. Step 2: Convert to fraction form
    8,329,681,782/18,017,988,304 = 18,017,988,304/x
  3. Step 3: Cross multiply
    8,329,681,782x = 18,017,988,304 × 18,017,988,304
  4. Step 4: Simplify right side
    8,329,681,782x = 324,647,902,523,080,769,536
  5. Step 5: Solve for x
    x = 324,647,902,523,080,769,536/8,329,681,782
  6. Step 6: Final answer
    x = 38,974,826,532.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.