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Finding the Third Proportional to 3,384,327,838 and 7,422,428,708

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Solution

The third proportional to 3,384,327,838 and 7,422,428,708 is: 16,278,697,148.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384,327,838 : 7,422,428,708 = 7,422,428,708 : x
  2. Step 2: Convert to fraction form
    3,384,327,838/7,422,428,708 = 7,422,428,708/x
  3. Step 3: Cross multiply
    3,384,327,838x = 7,422,428,708 × 7,422,428,708
  4. Step 4: Simplify right side
    3,384,327,838x = 55,092,447,925,342,552,064
  5. Step 5: Solve for x
    x = 55,092,447,925,342,552,064/3,384,327,838
  6. Step 6: Final answer
    x = 16,278,697,148.29

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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.