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Finding the Third Proportional to 34,271,481.50 and 74,185,747

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Solution

The third proportional to 34,271,481.50 and 74,185,747 is: 160,586,143.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,271,481.50 : 74,185,747 = 74,185,747 : x
  2. Step 2: Convert to fraction form
    34,271,481.50/74,185,747 = 74,185,747/x
  3. Step 3: Cross multiply
    34,271,481.50x = 74,185,747 × 74,185,747
  4. Step 4: Simplify right side
    34,271,481.50x = 5,503,525,057,948,009
  5. Step 5: Solve for x
    x = 5,503,525,057,948,009/34,271,481.50
  6. Step 6: Final answer
    x = 160,586,143.85

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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.