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Finding the Third Proportional to 64,000,408 and 140,761,232

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Solution

The third proportional to 64,000,408 and 140,761,232 is: 309,587,470.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,000,408 : 140,761,232 = 140,761,232 : x
  2. Step 2: Convert to fraction form
    64,000,408/140,761,232 = 140,761,232/x
  3. Step 3: Cross multiply
    64,000,408x = 140,761,232 × 140,761,232
  4. Step 4: Simplify right side
    64,000,408x = 19,813,724,434,157,824
  5. Step 5: Solve for x
    x = 19,813,724,434,157,824/64,000,408
  6. Step 6: Final answer
    x = 309,587,470.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.