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Finding the Third Proportional to 2,927,469 and 6,343,638

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Solution

The third proportional to 2,927,469 and 6,343,638 is: 13,746,257.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927,469 : 6,343,638 = 6,343,638 : x
  2. Step 2: Convert to fraction form
    2,927,469/6,343,638 = 6,343,638/x
  3. Step 3: Cross multiply
    2,927,469x = 6,343,638 × 6,343,638
  4. Step 4: Simplify right side
    2,927,469x = 40,241,743,075,044
  5. Step 5: Solve for x
    x = 40,241,743,075,044/2,927,469
  6. Step 6: Final answer
    x = 13,746,257.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.