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Finding the Third Proportional to 264,318,848 and 560,146,670

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Solution

The third proportional to 264,318,848 and 560,146,670 is: 1,187,067,416.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,318,848 : 560,146,670 = 560,146,670 : x
  2. Step 2: Convert to fraction form
    264,318,848/560,146,670 = 560,146,670/x
  3. Step 3: Cross multiply
    264,318,848x = 560,146,670 × 560,146,670
  4. Step 4: Simplify right side
    264,318,848x = 313,764,291,912,088,896
  5. Step 5: Solve for x
    x = 313,764,291,912,088,896/264,318,848
  6. Step 6: Final answer
    x = 1,187,067,416.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.