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Finding the Third Proportional to 6,236,430 and 9,329,214

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Solution

The third proportional to 6,236,430 and 9,329,214 is: 13,955,778.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,236,430 : 9,329,214 = 9,329,214 : x
  2. Step 2: Convert to fraction form
    6,236,430/9,329,214 = 9,329,214/x
  3. Step 3: Cross multiply
    6,236,430x = 9,329,214 × 9,329,214
  4. Step 4: Simplify right side
    6,236,430x = 87,034,233,857,796
  5. Step 5: Solve for x
    x = 87,034,233,857,796/6,236,430
  6. Step 6: Final answer
    x = 13,955,778.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.