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Finding the Third Proportional to 264,318,845.63 and 560,146,665.94

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Solution

The third proportional to 264,318,845.63 and 560,146,665.94 is: 1,187,067,409.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,318,845.63 : 560,146,665.94 = 560,146,665.94 : x
  2. Step 2: Convert to fraction form
    264,318,845.63/560,146,665.94 = 560,146,665.94/x
  3. Step 3: Cross multiply
    264,318,845.63x = 560,146,665.94 × 560,146,665.94
  4. Step 4: Simplify right side
    264,318,845.63x = 313,764,287,360,897,216
  5. Step 5: Solve for x
    x = 313,764,287,360,897,216/264,318,845.63
  6. Step 6: Final answer
    x = 1,187,067,409.51

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