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Finding the Third Proportional to 4,535,003.50 and 9,867,134

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Solution

The third proportional to 4,535,003.50 and 9,867,134 is: 21,468,634.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535,003.50 : 9,867,134 = 9,867,134 : x
  2. Step 2: Convert to fraction form
    4,535,003.50/9,867,134 = 9,867,134/x
  3. Step 3: Cross multiply
    4,535,003.50x = 9,867,134 × 9,867,134
  4. Step 4: Simplify right side
    4,535,003.50x = 97,360,333,373,956
  5. Step 5: Solve for x
    x = 97,360,333,373,956/4,535,003.50
  6. Step 6: Final answer
    x = 21,468,634.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.