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Finding the Third Proportional to 2,509,164 and 5,433,048

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Solution

The third proportional to 2,509,164 and 5,433,048 is: 11,764,081.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509,164 : 5,433,048 = 5,433,048 : x
  2. Step 2: Convert to fraction form
    2,509,164/5,433,048 = 5,433,048/x
  3. Step 3: Cross multiply
    2,509,164x = 5,433,048 × 5,433,048
  4. Step 4: Simplify right side
    2,509,164x = 29,518,010,570,304
  5. Step 5: Solve for x
    x = 29,518,010,570,304/2,509,164
  6. Step 6: Final answer
    x = 11,764,081.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.