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Finding the Third Proportional to 3,384,327,836 and 7,422,428,704

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Solution

The third proportional to 3,384,327,836 and 7,422,428,704 is: 16,278,697,140.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384,327,836 : 7,422,428,704 = 7,422,428,704 : x
  2. Step 2: Convert to fraction form
    3,384,327,836/7,422,428,704 = 7,422,428,704/x
  3. Step 3: Cross multiply
    3,384,327,836x = 7,422,428,704 × 7,422,428,704
  4. Step 4: Simplify right side
    3,384,327,836x = 55,092,447,865,963,118,592
  5. Step 5: Solve for x
    x = 55,092,447,865,963,118,592/3,384,327,836
  6. Step 6: Final answer
    x = 16,278,697,140.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.