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Finding the Third Proportional to 180,233,437,536 and 375,299,330,040

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Solution

The third proportional to 180,233,437,536 and 375,299,330,040 is: 781,484,218,766.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,233,437,536 : 375,299,330,040 = 375,299,330,040 : x
  2. Step 2: Convert to fraction form
    180,233,437,536/375,299,330,040 = 375,299,330,040/x
  3. Step 3: Cross multiply
    180,233,437,536x = 375,299,330,040 × 375,299,330,040
  4. Step 4: Simplify right side
    180,233,437,536x = 140,849,587,128,472,851,972,096
  5. Step 5: Solve for x
    x = 140,849,587,128,472,851,972,096/180,233,437,536
  6. Step 6: Final answer
    x = 781,484,218,766.78

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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.