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Finding the Third Proportional to 6,291,616 and 13,760,720

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Solution

The third proportional to 6,291,616 and 13,760,720 is: 30,096,785.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291,616 : 13,760,720 = 13,760,720 : x
  2. Step 2: Convert to fraction form
    6,291,616/13,760,720 = 13,760,720/x
  3. Step 3: Cross multiply
    6,291,616x = 13,760,720 × 13,760,720
  4. Step 4: Simplify right side
    6,291,616x = 189,357,414,918,400
  5. Step 5: Solve for x
    x = 189,357,414,918,400/6,291,616
  6. Step 6: Final answer
    x = 30,096,785.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.