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Finding the Third Proportional to 5,421,398 and 7,951,027

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Solution

The third proportional to 5,421,398 and 7,951,027 is: 11,660,983.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,421,398 : 7,951,027 = 7,951,027 : x
  2. Step 2: Convert to fraction form
    5,421,398/7,951,027 = 7,951,027/x
  3. Step 3: Cross multiply
    5,421,398x = 7,951,027 × 7,951,027
  4. Step 4: Simplify right side
    5,421,398x = 63,218,830,354,729
  5. Step 5: Solve for x
    x = 63,218,830,354,729/5,421,398
  6. Step 6: Final answer
    x = 11,660,983.08

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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.