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Finding the Third Proportional to 6,917,514 and 9,854,109

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Solution

The third proportional to 6,917,514 and 9,854,109 is: 14,037,335.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,917,514 : 9,854,109 = 9,854,109 : x
  2. Step 2: Convert to fraction form
    6,917,514/9,854,109 = 9,854,109/x
  3. Step 3: Cross multiply
    6,917,514x = 9,854,109 × 9,854,109
  4. Step 4: Simplify right side
    6,917,514x = 97,103,464,183,881
  5. Step 5: Solve for x
    x = 97,103,464,183,881/6,917,514
  6. Step 6: Final answer
    x = 14,037,335.40

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.