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Finding the Third Proportional to 6,115,078 and 13,187,684

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Solution

The third proportional to 6,115,078 and 13,187,684 is: 28,440,358.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,115,078 : 13,187,684 = 13,187,684 : x
  2. Step 2: Convert to fraction form
    6,115,078/13,187,684 = 13,187,684/x
  3. Step 3: Cross multiply
    6,115,078x = 13,187,684 × 13,187,684
  4. Step 4: Simplify right side
    6,115,078x = 173,915,009,283,856
  5. Step 5: Solve for x
    x = 173,915,009,283,856/6,115,078
  6. Step 6: Final answer
    x = 28,440,358.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.