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Finding the Third Proportional to 9,137,574 and 20,317,620

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Solution

The third proportional to 9,137,574 and 20,317,620 is: 45,176,726.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137,574 : 20,317,620 = 20,317,620 : x
  2. Step 2: Convert to fraction form
    9,137,574/20,317,620 = 20,317,620/x
  3. Step 3: Cross multiply
    9,137,574x = 20,317,620 × 20,317,620
  4. Step 4: Simplify right side
    9,137,574x = 412,805,682,464,400
  5. Step 5: Solve for x
    x = 412,805,682,464,400/9,137,574
  6. Step 6: Final answer
    x = 45,176,726.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.