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Finding the Third Proportional to 741,036,408 and 1,577,914,608

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Solution

The third proportional to 741,036,408 and 1,577,914,608 is: 3,359,908,478.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,036,408 : 1,577,914,608 = 1,577,914,608 : x
  2. Step 2: Convert to fraction form
    741,036,408/1,577,914,608 = 1,577,914,608/x
  3. Step 3: Cross multiply
    741,036,408x = 1,577,914,608 × 1,577,914,608
  4. Step 4: Simplify right side
    741,036,408x = 2,489,814,510,139,793,408
  5. Step 5: Solve for x
    x = 2,489,814,510,139,793,408/741,036,408
  6. Step 6: Final answer
    x = 3,359,908,478.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.