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Finding the Third Proportional to 74,741,742 and 160,657,596

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Solution

The third proportional to 74,741,742 and 160,657,596 is: 345,333,978.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,741,742 : 160,657,596 = 160,657,596 : x
  2. Step 2: Convert to fraction form
    74,741,742/160,657,596 = 160,657,596/x
  3. Step 3: Cross multiply
    74,741,742x = 160,657,596 × 160,657,596
  4. Step 4: Simplify right side
    74,741,742x = 25,810,863,152,499,216
  5. Step 5: Solve for x
    x = 25,810,863,152,499,216/74,741,742
  6. Step 6: Final answer
    x = 345,333,978.87

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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.