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Finding the Third Proportional to 5,797,488 and 13,641,144

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Solution

The third proportional to 5,797,488 and 13,641,144 is: 32,096,799.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797,488 : 13,641,144 = 13,641,144 : x
  2. Step 2: Convert to fraction form
    5,797,488/13,641,144 = 13,641,144/x
  3. Step 3: Cross multiply
    5,797,488x = 13,641,144 × 13,641,144
  4. Step 4: Simplify right side
    5,797,488x = 186,080,809,628,736
  5. Step 5: Solve for x
    x = 186,080,809,628,736/5,797,488
  6. Step 6: Final answer
    x = 32,096,799.45

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.