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Finding the Third Proportional to 6,520,986 and 14,301,684

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Solution

The third proportional to 6,520,986 and 14,301,684 is: 31,366,140.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520,986 : 14,301,684 = 14,301,684 : x
  2. Step 2: Convert to fraction form
    6,520,986/14,301,684 = 14,301,684/x
  3. Step 3: Cross multiply
    6,520,986x = 14,301,684 × 14,301,684
  4. Step 4: Simplify right side
    6,520,986x = 204,538,165,235,856
  5. Step 5: Solve for x
    x = 204,538,165,235,856/6,520,986
  6. Step 6: Final answer
    x = 31,366,140.83

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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.