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Finding the Third Proportional to 180,233,437,540 and 375,299,330,048

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Solution

The third proportional to 180,233,437,540 and 375,299,330,048 is: 781,484,218,782.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,233,437,540 : 375,299,330,048 = 375,299,330,048 : x
  2. Step 2: Convert to fraction form
    180,233,437,540/375,299,330,048 = 375,299,330,048/x
  3. Step 3: Cross multiply
    180,233,437,540x = 375,299,330,048 × 375,299,330,048
  4. Step 4: Simplify right side
    180,233,437,540x = 140,849,587,134,477,635,682,304
  5. Step 5: Solve for x
    x = 140,849,587,134,477,635,682,304/180,233,437,540
  6. Step 6: Final answer
    x = 781,484,218,782.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.