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Finding the Third Proportional to 9,694,860 and 15,032,214

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Solution

The third proportional to 9,694,860 and 15,032,214 is: 23,307,965.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694,860 : 15,032,214 = 15,032,214 : x
  2. Step 2: Convert to fraction form
    9,694,860/15,032,214 = 15,032,214/x
  3. Step 3: Cross multiply
    9,694,860x = 15,032,214 × 15,032,214
  4. Step 4: Simplify right side
    9,694,860x = 225,967,457,741,796
  5. Step 5: Solve for x
    x = 225,967,457,741,796/9,694,860
  6. Step 6: Final answer
    x = 23,307,965.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.