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Finding the Third Proportional to 5,685,988 and 13,422,682

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Solution

The third proportional to 5,685,988 and 13,422,682 is: 31,686,382.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685,988 : 13,422,682 = 13,422,682 : x
  2. Step 2: Convert to fraction form
    5,685,988/13,422,682 = 13,422,682/x
  3. Step 3: Cross multiply
    5,685,988x = 13,422,682 × 13,422,682
  4. Step 4: Simplify right side
    5,685,988x = 180,168,392,073,124
  5. Step 5: Solve for x
    x = 180,168,392,073,124/5,685,988
  6. Step 6: Final answer
    x = 31,686,382.75

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.