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Finding the Third Proportional to 9,386,100 and 22,604,193

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Solution

The third proportional to 9,386,100 and 22,604,193 is: 54,436,831.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386,100 : 22,604,193 = 22,604,193 : x
  2. Step 2: Convert to fraction form
    9,386,100/22,604,193 = 22,604,193/x
  3. Step 3: Cross multiply
    9,386,100x = 22,604,193 × 22,604,193
  4. Step 4: Simplify right side
    9,386,100x = 510,949,541,181,249
  5. Step 5: Solve for x
    x = 510,949,541,181,249/9,386,100
  6. Step 6: Final answer
    x = 54,436,831.18

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.