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Finding the Third Proportional to 517,192,916 and 1,149,177,075

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Solution

The third proportional to 517,192,916 and 1,149,177,075 is: 2,553,414,613.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,192,916 : 1,149,177,075 = 1,149,177,075 : x
  2. Step 2: Convert to fraction form
    517,192,916/1,149,177,075 = 1,149,177,075/x
  3. Step 3: Cross multiply
    517,192,916x = 1,149,177,075 × 1,149,177,075
  4. Step 4: Simplify right side
    517,192,916x = 1,320,607,949,705,555,712
  5. Step 5: Solve for x
    x = 1,320,607,949,705,555,712/517,192,916
  6. Step 6: Final answer
    x = 2,553,414,613.49

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.