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Finding the Third Proportional to 6,182,448 and 13,215,728

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Solution

The third proportional to 6,182,448 and 13,215,728 is: 28,250,211.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182,448 : 13,215,728 = 13,215,728 : x
  2. Step 2: Convert to fraction form
    6,182,448/13,215,728 = 13,215,728/x
  3. Step 3: Cross multiply
    6,182,448x = 13,215,728 × 13,215,728
  4. Step 4: Simplify right side
    6,182,448x = 174,655,466,569,984
  5. Step 5: Solve for x
    x = 174,655,466,569,984/6,182,448
  6. Step 6: Final answer
    x = 28,250,211.98

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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.