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Finding the Third Proportional to 266,139,680 and 582,450,050

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Solution

The third proportional to 266,139,680 and 582,450,050 is: 1,274,699,288.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,139,680 : 582,450,050 = 582,450,050 : x
  2. Step 2: Convert to fraction form
    266,139,680/582,450,050 = 582,450,050/x
  3. Step 3: Cross multiply
    266,139,680x = 582,450,050 × 582,450,050
  4. Step 4: Simplify right side
    266,139,680x = 339,248,060,745,002,496
  5. Step 5: Solve for x
    x = 339,248,060,745,002,496/266,139,680
  6. Step 6: Final answer
    x = 1,274,699,288.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.