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Finding the Third Proportional to 6,121,694 and 13,345,638

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Solution

The third proportional to 6,121,694 and 13,345,638 is: 29,094,243.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,121,694 : 13,345,638 = 13,345,638 : x
  2. Step 2: Convert to fraction form
    6,121,694/13,345,638 = 13,345,638/x
  3. Step 3: Cross multiply
    6,121,694x = 13,345,638 × 13,345,638
  4. Step 4: Simplify right side
    6,121,694x = 178,106,053,627,044
  5. Step 5: Solve for x
    x = 178,106,053,627,044/6,121,694
  6. Step 6: Final answer
    x = 29,094,243.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.