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Finding the Third Proportional to 613,225,129,266 and 1,334,431,604,772

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Solution

The third proportional to 613,225,129,266 and 1,334,431,604,772 is: 2,903,840,079,002.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,225,129,266 : 1,334,431,604,772 = 1,334,431,604,772 : x
  2. Step 2: Convert to fraction form
    613,225,129,266/1,334,431,604,772 = 1,334,431,604,772/x
  3. Step 3: Cross multiply
    613,225,129,266x = 1,334,431,604,772 × 1,334,431,604,772
  4. Step 4: Simplify right side
    613,225,129,266x = 1,780,707,707,814,375,294,238,720
  5. Step 5: Solve for x
    x = 1,780,707,707,814,375,294,238,720/613,225,129,266
  6. Step 6: Final answer
    x = 2,903,840,079,002.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.