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Finding the Third Proportional to 9,010,272.50 and 18,659,297.50

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Solution

The third proportional to 9,010,272.50 and 18,659,297.50 is: 38,641,382.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,010,272.50 : 18,659,297.50 = 18,659,297.50 : x
  2. Step 2: Convert to fraction form
    9,010,272.50/18,659,297.50 = 18,659,297.50/x
  3. Step 3: Cross multiply
    9,010,272.50x = 18,659,297.50 × 18,659,297.50
  4. Step 4: Simplify right side
    9,010,272.50x = 348,169,383,193,506.25
  5. Step 5: Solve for x
    x = 348,169,383,193,506.25/9,010,272.50
  6. Step 6: Final answer
    x = 38,641,382.18

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.