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Finding the Third Proportional to 74,825,596 and 160,790,120

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Solution

The third proportional to 74,825,596 and 160,790,120 is: 345,516,294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,825,596 : 160,790,120 = 160,790,120 : x
  2. Step 2: Convert to fraction form
    74,825,596/160,790,120 = 160,790,120/x
  3. Step 3: Cross multiply
    74,825,596x = 160,790,120 × 160,790,120
  4. Step 4: Simplify right side
    74,825,596x = 25,853,462,689,614,400
  5. Step 5: Solve for x
    x = 25,853,462,689,614,400/74,825,596
  6. Step 6: Final answer
    x = 345,516,294.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.