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Finding the Third Proportional to 7,286,638.50 and 10,693,518.75

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Solution

The third proportional to 7,286,638.50 and 10,693,518.75 is: 15,693,291.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286,638.50 : 10,693,518.75 = 10,693,518.75 : x
  2. Step 2: Convert to fraction form
    7,286,638.50/10,693,518.75 = 10,693,518.75/x
  3. Step 3: Cross multiply
    7,286,638.50x = 10,693,518.75 × 10,693,518.75
  4. Step 4: Simplify right side
    7,286,638.50x = 114,351,343,256,601.56
  5. Step 5: Solve for x
    x = 114,351,343,256,601.56/7,286,638.50
  6. Step 6: Final answer
    x = 15,693,291.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.