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Finding the Third Proportional to 5,679,684 and 12,225,418

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Solution

The third proportional to 5,679,684 and 12,225,418 is: 26,314,993.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679,684 : 12,225,418 = 12,225,418 : x
  2. Step 2: Convert to fraction form
    5,679,684/12,225,418 = 12,225,418/x
  3. Step 3: Cross multiply
    5,679,684x = 12,225,418 × 12,225,418
  4. Step 4: Simplify right side
    5,679,684x = 149,460,845,274,724
  5. Step 5: Solve for x
    x = 149,460,845,274,724/5,679,684
  6. Step 6: Final answer
    x = 26,314,993.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.