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Finding the Third Proportional to 6,894,955 and 11,109,609

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Solution

The third proportional to 6,894,955 and 11,109,609 is: 17,900,539.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894,955 : 11,109,609 = 11,109,609 : x
  2. Step 2: Convert to fraction form
    6,894,955/11,109,609 = 11,109,609/x
  3. Step 3: Cross multiply
    6,894,955x = 11,109,609 × 11,109,609
  4. Step 4: Simplify right side
    6,894,955x = 123,423,412,132,881
  5. Step 5: Solve for x
    x = 123,423,412,132,881/6,894,955
  6. Step 6: Final answer
    x = 17,900,539.18

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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.