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Finding the Third Proportional to 19,658,229 and 30,770,769

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Solution

The third proportional to 19,658,229 and 30,770,769 is: 48,165,082.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,658,229 : 30,770,769 = 30,770,769 : x
  2. Step 2: Convert to fraction form
    19,658,229/30,770,769 = 30,770,769/x
  3. Step 3: Cross multiply
    19,658,229x = 30,770,769 × 30,770,769
  4. Step 4: Simplify right side
    19,658,229x = 946,840,224,851,361
  5. Step 5: Solve for x
    x = 946,840,224,851,361/19,658,229
  6. Step 6: Final answer
    x = 48,165,082.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.