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Finding the Third Proportional to 9,128,561 and 14,216,286

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Solution

The third proportional to 9,128,561 and 14,216,286 is: 22,139,610.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,128,561 : 14,216,286 = 14,216,286 : x
  2. Step 2: Convert to fraction form
    9,128,561/14,216,286 = 14,216,286/x
  3. Step 3: Cross multiply
    9,128,561x = 14,216,286 × 14,216,286
  4. Step 4: Simplify right side
    9,128,561x = 202,102,787,633,796
  5. Step 5: Solve for x
    x = 202,102,787,633,796/9,128,561
  6. Step 6: Final answer
    x = 22,139,610.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.