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Finding the Third Proportional to 6,217,028 and 13,378,840

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Solution

The third proportional to 6,217,028 and 13,378,840 is: 28,790,824.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,217,028 : 13,378,840 = 13,378,840 : x
  2. Step 2: Convert to fraction form
    6,217,028/13,378,840 = 13,378,840/x
  3. Step 3: Cross multiply
    6,217,028x = 13,378,840 × 13,378,840
  4. Step 4: Simplify right side
    6,217,028x = 178,993,359,745,600
  5. Step 5: Solve for x
    x = 178,993,359,745,600/6,217,028
  6. Step 6: Final answer
    x = 28,790,824.13

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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.