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Finding the Third Proportional to 2,868,676 and 6,242,049

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Solution

The third proportional to 2,868,676 and 6,242,049 is: 13,582,285.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868,676 : 6,242,049 = 6,242,049 : x
  2. Step 2: Convert to fraction form
    2,868,676/6,242,049 = 6,242,049/x
  3. Step 3: Cross multiply
    2,868,676x = 6,242,049 × 6,242,049
  4. Step 4: Simplify right side
    2,868,676x = 38,963,175,718,401
  5. Step 5: Solve for x
    x = 38,963,175,718,401/2,868,676
  6. Step 6: Final answer
    x = 13,582,285.25

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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.