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Finding the Third Proportional to 34,261,890 and 74,169,150

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Solution

The third proportional to 34,261,890 and 74,169,150 is: 160,559,233.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,261,890 : 74,169,150 = 74,169,150 : x
  2. Step 2: Convert to fraction form
    34,261,890/74,169,150 = 74,169,150/x
  3. Step 3: Cross multiply
    34,261,890x = 74,169,150 × 74,169,150
  4. Step 4: Simplify right side
    34,261,890x = 5,501,062,811,722,500
  5. Step 5: Solve for x
    x = 5,501,062,811,722,500/34,261,890
  6. Step 6: Final answer
    x = 160,559,233.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.