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Finding the Third Proportional to 9,424,921 and 20,338,472

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Solution

The third proportional to 9,424,921 and 20,338,472 is: 43,889,327.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424,921 : 20,338,472 = 20,338,472 : x
  2. Step 2: Convert to fraction form
    9,424,921/20,338,472 = 20,338,472/x
  3. Step 3: Cross multiply
    9,424,921x = 20,338,472 × 20,338,472
  4. Step 4: Simplify right side
    9,424,921x = 413,653,443,294,784
  5. Step 5: Solve for x
    x = 413,653,443,294,784/9,424,921
  6. Step 6: Final answer
    x = 43,889,327.38

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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.