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Finding the Third Proportional to 6,894,951 and 11,109,603

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Solution

The third proportional to 6,894,951 and 11,109,603 is: 17,900,530.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894,951 : 11,109,603 = 11,109,603 : x
  2. Step 2: Convert to fraction form
    6,894,951/11,109,603 = 11,109,603/x
  3. Step 3: Cross multiply
    6,894,951x = 11,109,603 × 11,109,603
  4. Step 4: Simplify right side
    6,894,951x = 123,423,278,817,609
  5. Step 5: Solve for x
    x = 123,423,278,817,609/6,894,951
  6. Step 6: Final answer
    x = 17,900,530.23

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.