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Finding the Third Proportional to 6,815,865 and 14,589,366

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Solution

The third proportional to 6,815,865 and 14,589,366 is: 31,228,552.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815,865 : 14,589,366 = 14,589,366 : x
  2. Step 2: Convert to fraction form
    6,815,865/14,589,366 = 14,589,366/x
  3. Step 3: Cross multiply
    6,815,865x = 14,589,366 × 14,589,366
  4. Step 4: Simplify right side
    6,815,865x = 212,849,600,281,956
  5. Step 5: Solve for x
    x = 212,849,600,281,956/6,815,865
  6. Step 6: Final answer
    x = 31,228,552.84

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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.