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Finding the Third Proportional to 3,101,186 and 6,570,607

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Solution

The third proportional to 3,101,186 and 6,570,607 is: 13,921,408.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101,186 : 6,570,607 = 6,570,607 : x
  2. Step 2: Convert to fraction form
    3,101,186/6,570,607 = 6,570,607/x
  3. Step 3: Cross multiply
    3,101,186x = 6,570,607 × 6,570,607
  4. Step 4: Simplify right side
    3,101,186x = 43,172,876,348,449
  5. Step 5: Solve for x
    x = 43,172,876,348,449/3,101,186
  6. Step 6: Final answer
    x = 13,921,408.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.