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Finding the Third Proportional to 6,543,674 and 13,927,156

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Solution

The third proportional to 6,543,674 and 13,927,156 is: 29,641,708.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543,674 : 13,927,156 = 13,927,156 : x
  2. Step 2: Convert to fraction form
    6,543,674/13,927,156 = 13,927,156/x
  3. Step 3: Cross multiply
    6,543,674x = 13,927,156 × 13,927,156
  4. Step 4: Simplify right side
    6,543,674x = 193,965,674,248,336
  5. Step 5: Solve for x
    x = 193,965,674,248,336/6,543,674
  6. Step 6: Final answer
    x = 29,641,708.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.