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Finding the Third Proportional to 5,113,209.38 and 11,188,516.50

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Solution

The third proportional to 5,113,209.38 and 11,188,516.50 is: 24,482,256.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113,209.38 : 11,188,516.50 = 11,188,516.50 : x
  2. Step 2: Convert to fraction form
    5,113,209.38/11,188,516.50 = 11,188,516.50/x
  3. Step 3: Cross multiply
    5,113,209.38x = 11,188,516.50 × 11,188,516.50
  4. Step 4: Simplify right side
    5,113,209.38x = 125,182,901,470,772.25
  5. Step 5: Solve for x
    x = 125,182,901,470,772.25/5,113,209.38
  6. Step 6: Final answer
    x = 24,482,256.11

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.