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Finding the Third Proportional to 5,751,024 and 12,309,921

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Solution

The third proportional to 5,751,024 and 12,309,921 is: 26,349,073.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751,024 : 12,309,921 = 12,309,921 : x
  2. Step 2: Convert to fraction form
    5,751,024/12,309,921 = 12,309,921/x
  3. Step 3: Cross multiply
    5,751,024x = 12,309,921 × 12,309,921
  4. Step 4: Simplify right side
    5,751,024x = 151,534,155,026,241
  5. Step 5: Solve for x
    x = 151,534,155,026,241/5,751,024
  6. Step 6: Final answer
    x = 26,349,073.67

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.