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Finding the Third Proportional to 13,636,314 and 30,299,517

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Solution

The third proportional to 13,636,314 and 30,299,517 is: 67,324,698.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,636,314 : 30,299,517 = 30,299,517 : x
  2. Step 2: Convert to fraction form
    13,636,314/30,299,517 = 30,299,517/x
  3. Step 3: Cross multiply
    13,636,314x = 30,299,517 × 30,299,517
  4. Step 4: Simplify right side
    13,636,314x = 918,060,730,433,289
  5. Step 5: Solve for x
    x = 918,060,730,433,289/13,636,314
  6. Step 6: Final answer
    x = 67,324,698.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.