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Finding the Third Proportional to 264,318,858 and 560,146,691.25

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Solution

The third proportional to 264,318,858 and 560,146,691.25 is: 1,187,067,461.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,318,858 : 560,146,691.25 = 560,146,691.25 : x
  2. Step 2: Convert to fraction form
    264,318,858/560,146,691.25 = 560,146,691.25/x
  3. Step 3: Cross multiply
    264,318,858x = 560,146,691.25 × 560,146,691.25
  4. Step 4: Simplify right side
    264,318,858x = 313,764,315,718,322,816
  5. Step 5: Solve for x
    x = 313,764,315,718,322,816/264,318,858
  6. Step 6: Final answer
    x = 1,187,067,461.22

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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.