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Finding the Third Proportional to 552,925,082 and 1,187,905,860

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Solution

The third proportional to 552,925,082 and 1,187,905,860 is: 2,552,100,416.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,925,082 : 1,187,905,860 = 1,187,905,860 : x
  2. Step 2: Convert to fraction form
    552,925,082/1,187,905,860 = 1,187,905,860/x
  3. Step 3: Cross multiply
    552,925,082x = 1,187,905,860 × 1,187,905,860
  4. Step 4: Simplify right side
    552,925,082x = 1,411,120,332,222,339,584
  5. Step 5: Solve for x
    x = 1,411,120,332,222,339,584/552,925,082
  6. Step 6: Final answer
    x = 2,552,100,416.78

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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.