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Finding the Third Proportional to 6,101,085.38 and 9,214,155

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Solution

The third proportional to 6,101,085.38 and 9,214,155 is: 13,915,663.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101,085.38 : 9,214,155 = 9,214,155 : x
  2. Step 2: Convert to fraction form
    6,101,085.38/9,214,155 = 9,214,155/x
  3. Step 3: Cross multiply
    6,101,085.38x = 9,214,155 × 9,214,155
  4. Step 4: Simplify right side
    6,101,085.38x = 84,900,652,364,025
  5. Step 5: Solve for x
    x = 84,900,652,364,025/6,101,085.38
  6. Step 6: Final answer
    x = 13,915,663.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.