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Finding the Third Proportional to 68,674,408 and 149,276,672

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Solution

The third proportional to 68,674,408 and 149,276,672 is: 324,480,770.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,674,408 : 149,276,672 = 149,276,672 : x
  2. Step 2: Convert to fraction form
    68,674,408/149,276,672 = 149,276,672/x
  3. Step 3: Cross multiply
    68,674,408x = 149,276,672 × 149,276,672
  4. Step 4: Simplify right side
    68,674,408x = 22,283,524,803,395,584
  5. Step 5: Solve for x
    x = 22,283,524,803,395,584/68,674,408
  6. Step 6: Final answer
    x = 324,480,770.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.