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Finding the Third Proportional to 3,734,194.50 and 8,147,005.50

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Solution

The third proportional to 3,734,194.50 and 8,147,005.50 is: 17,774,569.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734,194.50 : 8,147,005.50 = 8,147,005.50 : x
  2. Step 2: Convert to fraction form
    3,734,194.50/8,147,005.50 = 8,147,005.50/x
  3. Step 3: Cross multiply
    3,734,194.50x = 8,147,005.50 × 8,147,005.50
  4. Step 4: Simplify right side
    3,734,194.50x = 66,373,698,617,030.25
  5. Step 5: Solve for x
    x = 66,373,698,617,030.25/3,734,194.50
  6. Step 6: Final answer
    x = 17,774,569.22

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.