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Finding the Third Proportional to 8,217,865.13 and 12,774,414.38

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Solution

The third proportional to 8,217,865.13 and 12,774,414.38 is: 19,857,427.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217,865.13 : 12,774,414.38 = 12,774,414.38 : x
  2. Step 2: Convert to fraction form
    8,217,865.13/12,774,414.38 = 12,774,414.38/x
  3. Step 3: Cross multiply
    8,217,865.13x = 12,774,414.38 × 12,774,414.38
  4. Step 4: Simplify right side
    8,217,865.13x = 163,185,662,624,206.62
  5. Step 5: Solve for x
    x = 163,185,662,624,206.62/8,217,865.13
  6. Step 6: Final answer
    x = 19,857,427.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.