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Finding the Third Proportional to 41,594,032 and 89,764,640

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Solution

The third proportional to 41,594,032 and 89,764,640 is: 193,722,277.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,594,032 : 89,764,640 = 89,764,640 : x
  2. Step 2: Convert to fraction form
    41,594,032/89,764,640 = 89,764,640/x
  3. Step 3: Cross multiply
    41,594,032x = 89,764,640 × 89,764,640
  4. Step 4: Simplify right side
    41,594,032x = 8,057,690,594,329,600
  5. Step 5: Solve for x
    x = 8,057,690,594,329,600/41,594,032
  6. Step 6: Final answer
    x = 193,722,277.14

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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.