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Finding the Third Proportional to 246,075,910 and 580,885,708

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Solution

The third proportional to 246,075,910 and 580,885,708 is: 1,371,236,240.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,075,910 : 580,885,708 = 580,885,708 : x
  2. Step 2: Convert to fraction form
    246,075,910/580,885,708 = 580,885,708/x
  3. Step 3: Cross multiply
    246,075,910x = 580,885,708 × 580,885,708
  4. Step 4: Simplify right side
    246,075,910x = 337,428,205,758,661,248
  5. Step 5: Solve for x
    x = 337,428,205,758,661,248/246,075,910
  6. Step 6: Final answer
    x = 1,371,236,240.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.