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Finding the Third Proportional to 73,945,766 and 159,583,072

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Solution

The third proportional to 73,945,766 and 159,583,072 is: 344,397,769.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,945,766 : 159,583,072 = 159,583,072 : x
  2. Step 2: Convert to fraction form
    73,945,766/159,583,072 = 159,583,072/x
  3. Step 3: Cross multiply
    73,945,766x = 159,583,072 × 159,583,072
  4. Step 4: Simplify right side
    73,945,766x = 25,466,756,868,957,184
  5. Step 5: Solve for x
    x = 25,466,756,868,957,184/73,945,766
  6. Step 6: Final answer
    x = 344,397,769.43

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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.