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Finding the Third Proportional to 7,119,221.63 and 14,743,134

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Solution

The third proportional to 7,119,221.63 and 14,743,134 is: 30,531,427.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,119,221.63 : 14,743,134 = 14,743,134 : x
  2. Step 2: Convert to fraction form
    7,119,221.63/14,743,134 = 14,743,134/x
  3. Step 3: Cross multiply
    7,119,221.63x = 14,743,134 × 14,743,134
  4. Step 4: Simplify right side
    7,119,221.63x = 217,360,000,141,956
  5. Step 5: Solve for x
    x = 217,360,000,141,956/7,119,221.63
  6. Step 6: Final answer
    x = 30,531,427.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.