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Finding the Third Proportional to 7,791,699,302 and 16,686,670,327

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Solution

The third proportional to 7,791,699,302 and 16,686,670,327 is: 35,736,102,717.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791,699,302 : 16,686,670,327 = 16,686,670,327 : x
  2. Step 2: Convert to fraction form
    7,791,699,302/16,686,670,327 = 16,686,670,327/x
  3. Step 3: Cross multiply
    7,791,699,302x = 16,686,670,327 × 16,686,670,327
  4. Step 4: Simplify right side
    7,791,699,302x = 278,444,966,601,982,279,680
  5. Step 5: Solve for x
    x = 278,444,966,601,982,279,680/7,791,699,302
  6. Step 6: Final answer
    x = 35,736,102,717.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.