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Finding the Third Proportional to 7,167,331,780 and 11,218,831,799

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Solution

The third proportional to 7,167,331,780 and 11,218,831,799 is: 17,560,535,886.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167,331,780 : 11,218,831,799 = 11,218,831,799 : x
  2. Step 2: Convert to fraction form
    7,167,331,780/11,218,831,799 = 11,218,831,799/x
  3. Step 3: Cross multiply
    7,167,331,780x = 11,218,831,799 × 11,218,831,799
  4. Step 4: Simplify right side
    7,167,331,780x = 125,862,186,934,253,584,384
  5. Step 5: Solve for x
    x = 125,862,186,934,253,584,384/7,167,331,780
  6. Step 6: Final answer
    x = 17,560,535,886.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.