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Finding the Third Proportional to 6,115,223 and 13,306,540

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Solution

The third proportional to 6,115,223 and 13,306,540 is: 28,954,627.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,115,223 : 13,306,540 = 13,306,540 : x
  2. Step 2: Convert to fraction form
    6,115,223/13,306,540 = 13,306,540/x
  3. Step 3: Cross multiply
    6,115,223x = 13,306,540 × 13,306,540
  4. Step 4: Simplify right side
    6,115,223x = 177,064,006,771,600
  5. Step 5: Solve for x
    x = 177,064,006,771,600/6,115,223
  6. Step 6: Final answer
    x = 28,954,627.95

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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.