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Finding the Third Proportional to 4,137,853.36 and 5,680,140.19

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Solution

The third proportional to 4,137,853.36 and 5,680,140.19 is: 7,797,277.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137,853.36 : 5,680,140.19 = 5,680,140.19 : x
  2. Step 2: Convert to fraction form
    4,137,853.36/5,680,140.19 = 5,680,140.19/x
  3. Step 3: Cross multiply
    4,137,853.36x = 5,680,140.19 × 5,680,140.19
  4. Step 4: Simplify right side
    4,137,853.36x = 32,263,992,549,652.54
  5. Step 5: Solve for x
    x = 32,263,992,549,652.54/4,137,853.36
  6. Step 6: Final answer
    x = 7,797,277.90

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.