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Finding the Third Proportional to 2,829,721 and 6,107,777

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Solution

The third proportional to 2,829,721 and 6,107,777 is: 13,183,257.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829,721 : 6,107,777 = 6,107,777 : x
  2. Step 2: Convert to fraction form
    2,829,721/6,107,777 = 6,107,777/x
  3. Step 3: Cross multiply
    2,829,721x = 6,107,777 × 6,107,777
  4. Step 4: Simplify right side
    2,829,721x = 37,304,939,881,729
  5. Step 5: Solve for x
    x = 37,304,939,881,729/2,829,721
  6. Step 6: Final answer
    x = 13,183,257.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.