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Finding the Third Proportional to 9,634,476.38 and 13,122,747

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Solution

The third proportional to 9,634,476.38 and 13,122,747 is: 17,873,985.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634,476.38 : 13,122,747 = 13,122,747 : x
  2. Step 2: Convert to fraction form
    9,634,476.38/13,122,747 = 13,122,747/x
  3. Step 3: Cross multiply
    9,634,476.38x = 13,122,747 × 13,122,747
  4. Step 4: Simplify right side
    9,634,476.38x = 172,206,488,826,009
  5. Step 5: Solve for x
    x = 172,206,488,826,009/9,634,476.38
  6. Step 6: Final answer
    x = 17,873,985.27

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.