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Finding the Third Proportional to 6,815,853 and 14,589,341

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Solution

The third proportional to 6,815,853 and 14,589,341 is: 31,228,500.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815,853 : 14,589,341 = 14,589,341 : x
  2. Step 2: Convert to fraction form
    6,815,853/14,589,341 = 14,589,341/x
  3. Step 3: Cross multiply
    6,815,853x = 14,589,341 × 14,589,341
  4. Step 4: Simplify right side
    6,815,853x = 212,848,870,814,281
  5. Step 5: Solve for x
    x = 212,848,870,814,281/6,815,853
  6. Step 6: Final answer
    x = 31,228,500.79

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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.