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Finding the Third Proportional to 6,846,279 and 14,834,154

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Solution

The third proportional to 6,846,279 and 14,834,154 is: 32,141,857.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846,279 : 14,834,154 = 14,834,154 : x
  2. Step 2: Convert to fraction form
    6,846,279/14,834,154 = 14,834,154/x
  3. Step 3: Cross multiply
    6,846,279x = 14,834,154 × 14,834,154
  4. Step 4: Simplify right side
    6,846,279x = 220,052,124,895,716
  5. Step 5: Solve for x
    x = 220,052,124,895,716/6,846,279
  6. Step 6: Final answer
    x = 32,141,857.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.