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Finding the Third Proportional to 2,373,066 and 4,914,361

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Solution

The third proportional to 2,373,066 and 4,914,361 is: 10,177,105.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373,066 : 4,914,361 = 4,914,361 : x
  2. Step 2: Convert to fraction form
    2,373,066/4,914,361 = 4,914,361/x
  3. Step 3: Cross multiply
    2,373,066x = 4,914,361 × 4,914,361
  4. Step 4: Simplify right side
    2,373,066x = 24,150,944,038,321
  5. Step 5: Solve for x
    x = 24,150,944,038,321/2,373,066
  6. Step 6: Final answer
    x = 10,177,105.92

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.