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Finding the Third Proportional to 6,784,671 and 14,747,262

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Solution

The third proportional to 6,784,671 and 14,747,262 is: 32,054,868.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784,671 : 14,747,262 = 14,747,262 : x
  2. Step 2: Convert to fraction form
    6,784,671/14,747,262 = 14,747,262/x
  3. Step 3: Cross multiply
    6,784,671x = 14,747,262 × 14,747,262
  4. Step 4: Simplify right side
    6,784,671x = 217,481,736,496,644
  5. Step 5: Solve for x
    x = 217,481,736,496,644/6,784,671
  6. Step 6: Final answer
    x = 32,054,868.47

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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.