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Finding the Third Proportional to 3,029,810 and 6,479,521

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Solution

The third proportional to 3,029,810 and 6,479,521 is: 13,857,038.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029,810 : 6,479,521 = 6,479,521 : x
  2. Step 2: Convert to fraction form
    3,029,810/6,479,521 = 6,479,521/x
  3. Step 3: Cross multiply
    3,029,810x = 6,479,521 × 6,479,521
  4. Step 4: Simplify right side
    3,029,810x = 41,984,192,389,441
  5. Step 5: Solve for x
    x = 41,984,192,389,441/3,029,810
  6. Step 6: Final answer
    x = 13,857,038.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.