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Finding the Third Proportional to 6,917,724 and 11,051,106

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Solution

The third proportional to 6,917,724 and 11,051,106 is: 17,654,208.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,917,724 : 11,051,106 = 11,051,106 : x
  2. Step 2: Convert to fraction form
    6,917,724/11,051,106 = 11,051,106/x
  3. Step 3: Cross multiply
    6,917,724x = 11,051,106 × 11,051,106
  4. Step 4: Simplify right side
    6,917,724x = 122,126,943,823,236
  5. Step 5: Solve for x
    x = 122,126,943,823,236/6,917,724
  6. Step 6: Final answer
    x = 17,654,208.79

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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.