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Finding the Third Proportional to 824,372,914 and 1,777,882,326

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Solution

The third proportional to 824,372,914 and 1,777,882,326 is: 3,834,266,642.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,372,914 : 1,777,882,326 = 1,777,882,326 : x
  2. Step 2: Convert to fraction form
    824,372,914/1,777,882,326 = 1,777,882,326/x
  3. Step 3: Cross multiply
    824,372,914x = 1,777,882,326 × 1,777,882,326
  4. Step 4: Simplify right side
    824,372,914x = 3,160,865,565,103,170,048
  5. Step 5: Solve for x
    x = 3,160,865,565,103,170,048/824,372,914
  6. Step 6: Final answer
    x = 3,834,266,642.47

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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.