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Finding the Third Proportional to 6,917,726 and 11,051,109

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Solution

The third proportional to 6,917,726 and 11,051,109 is: 17,654,213.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,917,726 : 11,051,109 = 11,051,109 : x
  2. Step 2: Convert to fraction form
    6,917,726/11,051,109 = 11,051,109/x
  3. Step 3: Cross multiply
    6,917,726x = 11,051,109 × 11,051,109
  4. Step 4: Simplify right side
    6,917,726x = 122,127,010,129,881
  5. Step 5: Solve for x
    x = 122,127,010,129,881/6,917,726
  6. Step 6: Final answer
    x = 17,654,213.27

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.