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Finding the Third Proportional to 824,372,806 and 1,777,882,112

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Solution

The third proportional to 824,372,806 and 1,777,882,112 is: 3,834,266,221.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,372,806 : 1,777,882,112 = 1,777,882,112 : x
  2. Step 2: Convert to fraction form
    824,372,806/1,777,882,112 = 1,777,882,112/x
  3. Step 3: Cross multiply
    824,372,806x = 1,777,882,112 × 1,777,882,112
  4. Step 4: Simplify right side
    824,372,806x = 3,160,864,804,169,580,544
  5. Step 5: Solve for x
    x = 3,160,864,804,169,580,544/824,372,806
  6. Step 6: Final answer
    x = 3,834,266,221.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.