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Finding the Third Proportional to 3,101,181 and 6,570,597

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Solution

The third proportional to 3,101,181 and 6,570,597 is: 13,921,388.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101,181 : 6,570,597 = 6,570,597 : x
  2. Step 2: Convert to fraction form
    3,101,181/6,570,597 = 6,570,597/x
  3. Step 3: Cross multiply
    3,101,181x = 6,570,597 × 6,570,597
  4. Step 4: Simplify right side
    3,101,181x = 43,172,744,936,409
  5. Step 5: Solve for x
    x = 43,172,744,936,409/3,101,181
  6. Step 6: Final answer
    x = 13,921,388.32

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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.