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Finding the Third Proportional to 15,787,939.50 and 23,617,633.50

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Solution

The third proportional to 15,787,939.50 and 23,617,633.50 is: 35,330,298.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,787,939.50 : 23,617,633.50 = 23,617,633.50 : x
  2. Step 2: Convert to fraction form
    15,787,939.50/23,617,633.50 = 23,617,633.50/x
  3. Step 3: Cross multiply
    15,787,939.50x = 23,617,633.50 × 23,617,633.50
  4. Step 4: Simplify right side
    15,787,939.50x = 557,792,612,140,322.25
  5. Step 5: Solve for x
    x = 557,792,612,140,322.25/15,787,939.50
  6. Step 6: Final answer
    x = 35,330,298.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.