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Finding the Third Proportional to 9,722,840 and 21,195,184

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Solution

The third proportional to 9,722,840 and 21,195,184 is: 46,204,177.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722,840 : 21,195,184 = 21,195,184 : x
  2. Step 2: Convert to fraction form
    9,722,840/21,195,184 = 21,195,184/x
  3. Step 3: Cross multiply
    9,722,840x = 21,195,184 × 21,195,184
  4. Step 4: Simplify right side
    9,722,840x = 449,235,824,793,856
  5. Step 5: Solve for x
    x = 449,235,824,793,856/9,722,840
  6. Step 6: Final answer
    x = 46,204,177.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.