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Finding the Third Proportional to 552,925,062 and 1,187,905,812

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Solution

The third proportional to 552,925,062 and 1,187,905,812 is: 2,552,100,302.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,925,062 : 1,187,905,812 = 1,187,905,812 : x
  2. Step 2: Convert to fraction form
    552,925,062/1,187,905,812 = 1,187,905,812/x
  3. Step 3: Cross multiply
    552,925,062x = 1,187,905,812 × 1,187,905,812
  4. Step 4: Simplify right side
    552,925,062x = 1,411,120,218,183,379,456
  5. Step 5: Solve for x
    x = 1,411,120,218,183,379,456/552,925,062
  6. Step 6: Final answer
    x = 2,552,100,302.85

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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.