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Finding the Third Proportional to 824,372,802 and 1,777,882,118

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Solution

The third proportional to 824,372,802 and 1,777,882,118 is: 3,834,266,266.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,372,802 : 1,777,882,118 = 1,777,882,118 : x
  2. Step 2: Convert to fraction form
    824,372,802/1,777,882,118 = 1,777,882,118/x
  3. Step 3: Cross multiply
    824,372,802x = 1,777,882,118 × 1,777,882,118
  4. Step 4: Simplify right side
    824,372,802x = 3,160,864,825,504,165,888
  5. Step 5: Solve for x
    x = 3,160,864,825,504,165,888/824,372,802
  6. Step 6: Final answer
    x = 3,834,266,266.23

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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.