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Finding the Third Proportional to 8,329,681,777.50 and 18,017,988,295.50

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Solution

The third proportional to 8,329,681,777.50 and 18,017,988,295.50 is: 38,974,826,516.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329,681,777.50 : 18,017,988,295.50 = 18,017,988,295.50 : x
  2. Step 2: Convert to fraction form
    8,329,681,777.50/18,017,988,295.50 = 18,017,988,295.50/x
  3. Step 3: Cross multiply
    8,329,681,777.50x = 18,017,988,295.50 × 18,017,988,295.50
  4. Step 4: Simplify right side
    8,329,681,777.50x = 324,647,902,216,775,008,256
  5. Step 5: Solve for x
    x = 324,647,902,216,775,008,256/8,329,681,777.50
  6. Step 6: Final answer
    x = 38,974,826,516.63

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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.