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Finding the Third Proportional to 5,265,230.34 and 8,089,447.22

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Solution

The third proportional to 5,265,230.34 and 8,089,447.22 is: 12,428,545.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265,230.34 : 8,089,447.22 = 8,089,447.22 : x
  2. Step 2: Convert to fraction form
    5,265,230.34/8,089,447.22 = 8,089,447.22/x
  3. Step 3: Cross multiply
    5,265,230.34x = 8,089,447.22 × 8,089,447.22
  4. Step 4: Simplify right side
    5,265,230.34x = 65,439,156,304,942.11
  5. Step 5: Solve for x
    x = 65,439,156,304,942.11/5,265,230.34
  6. Step 6: Final answer
    x = 12,428,545.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.