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Finding the Third Proportional to 6,513,817.50 and 13,922,148.38

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Solution

The third proportional to 6,513,817.50 and 13,922,148.38 is: 29,756,163.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513,817.50 : 13,922,148.38 = 13,922,148.38 : x
  2. Step 2: Convert to fraction form
    6,513,817.50/13,922,148.38 = 13,922,148.38/x
  3. Step 3: Cross multiply
    6,513,817.50x = 13,922,148.38 × 13,922,148.38
  4. Step 4: Simplify right side
    6,513,817.50x = 193,826,215,375,515.12
  5. Step 5: Solve for x
    x = 193,826,215,375,515.12/6,513,817.50
  6. Step 6: Final answer
    x = 29,756,163.01

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.