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Finding the Third Proportional to 3,101,194 and 6,570,624

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Solution

The third proportional to 3,101,194 and 6,570,624 is: 13,921,444.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101,194 : 6,570,624 = 6,570,624 : x
  2. Step 2: Convert to fraction form
    3,101,194/6,570,624 = 6,570,624/x
  3. Step 3: Cross multiply
    3,101,194x = 6,570,624 × 6,570,624
  4. Step 4: Simplify right side
    3,101,194x = 43,173,099,749,376
  5. Step 5: Solve for x
    x = 43,173,099,749,376/3,101,194
  6. Step 6: Final answer
    x = 13,921,444.37

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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.