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Finding the Third Proportional to 3,384,327,834 and 7,422,428,700

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Solution

The third proportional to 3,384,327,834 and 7,422,428,700 is: 16,278,697,132.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384,327,834 : 7,422,428,700 = 7,422,428,700 : x
  2. Step 2: Convert to fraction form
    3,384,327,834/7,422,428,700 = 7,422,428,700/x
  3. Step 3: Cross multiply
    3,384,327,834x = 7,422,428,700 × 7,422,428,700
  4. Step 4: Simplify right side
    3,384,327,834x = 55,092,447,806,583,693,312
  5. Step 5: Solve for x
    x = 55,092,447,806,583,693,312/3,384,327,834
  6. Step 6: Final answer
    x = 16,278,697,132.44

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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.