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Finding the Third Proportional to 2,228,665,608 and 3,348,614,412

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Solution

The third proportional to 2,228,665,608 and 3,348,614,412 is: 5,031,359,769.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228,665,608 : 3,348,614,412 = 3,348,614,412 : x
  2. Step 2: Convert to fraction form
    2,228,665,608/3,348,614,412 = 3,348,614,412/x
  3. Step 3: Cross multiply
    2,228,665,608x = 3,348,614,412 × 3,348,614,412
  4. Step 4: Simplify right side
    2,228,665,608x = 11,213,218,480,254,105,600
  5. Step 5: Solve for x
    x = 11,213,218,480,254,105,600/2,228,665,608
  6. Step 6: Final answer
    x = 5,031,359,769.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.