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Finding the Third Proportional to 6,873,650 and 10,100,019

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Solution

The third proportional to 6,873,650 and 10,100,019 is: 14,840,788.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873,650 : 10,100,019 = 10,100,019 : x
  2. Step 2: Convert to fraction form
    6,873,650/10,100,019 = 10,100,019/x
  3. Step 3: Cross multiply
    6,873,650x = 10,100,019 × 10,100,019
  4. Step 4: Simplify right side
    6,873,650x = 102,010,383,800,361
  5. Step 5: Solve for x
    x = 102,010,383,800,361/6,873,650
  6. Step 6: Final answer
    x = 14,840,788.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.