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Finding the Third Proportional to 5,703,302.25 and 12,681,743.63

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Solution

The third proportional to 5,703,302.25 and 12,681,743.63 is: 28,198,859.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703,302.25 : 12,681,743.63 = 12,681,743.63 : x
  2. Step 2: Convert to fraction form
    5,703,302.25/12,681,743.63 = 12,681,743.63/x
  3. Step 3: Cross multiply
    5,703,302.25x = 12,681,743.63 × 12,681,743.63
  4. Step 4: Simplify right side
    5,703,302.25x = 160,826,621,370,228.12
  5. Step 5: Solve for x
    x = 160,826,621,370,228.12/5,703,302.25
  6. Step 6: Final answer
    x = 28,198,859.94

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.