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Finding the Third Proportional to 34,029,264 and 52,305,417

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Solution

The third proportional to 34,029,264 and 52,305,417 is: 80,397,173.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,029,264 : 52,305,417 = 52,305,417 : x
  2. Step 2: Convert to fraction form
    34,029,264/52,305,417 = 52,305,417/x
  3. Step 3: Cross multiply
    34,029,264x = 52,305,417 × 52,305,417
  4. Step 4: Simplify right side
    34,029,264x = 2,735,856,647,543,889
  5. Step 5: Solve for x
    x = 2,735,856,647,543,889/34,029,264
  6. Step 6: Final answer
    x = 80,397,173.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.