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Finding the Third Proportional to 44,114,916 and 66,739,751

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Solution

The third proportional to 44,114,916 and 66,739,751 is: 100,967,989.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,114,916 : 66,739,751 = 66,739,751 : x
  2. Step 2: Convert to fraction form
    44,114,916/66,739,751 = 66,739,751/x
  3. Step 3: Cross multiply
    44,114,916x = 66,739,751 × 66,739,751
  4. Step 4: Simplify right side
    44,114,916x = 4,454,194,363,542,001
  5. Step 5: Solve for x
    x = 4,454,194,363,542,001/44,114,916
  6. Step 6: Final answer
    x = 100,967,989.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.