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Finding the Third Proportional to 34,029,684 and 52,306,020

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Solution

The third proportional to 34,029,684 and 52,306,020 is: 80,398,035.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,029,684 : 52,306,020 = 52,306,020 : x
  2. Step 2: Convert to fraction form
    34,029,684/52,306,020 = 52,306,020/x
  3. Step 3: Cross multiply
    34,029,684x = 52,306,020 × 52,306,020
  4. Step 4: Simplify right side
    34,029,684x = 2,735,919,728,240,400
  5. Step 5: Solve for x
    x = 2,735,919,728,240,400/34,029,684
  6. Step 6: Final answer
    x = 80,398,035.09

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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.