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Finding the Third Proportional to 276,158,376 and 595,356,912

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Solution

The third proportional to 276,158,376 and 595,356,912 is: 1,283,502,089.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,158,376 : 595,356,912 = 595,356,912 : x
  2. Step 2: Convert to fraction form
    276,158,376/595,356,912 = 595,356,912/x
  3. Step 3: Cross multiply
    276,158,376x = 595,356,912 × 595,356,912
  4. Step 4: Simplify right side
    276,158,376x = 354,449,852,666,175,744
  5. Step 5: Solve for x
    x = 354,449,852,666,175,744/276,158,376
  6. Step 6: Final answer
    x = 1,283,502,089.63

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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.