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Finding the Third Proportional to 39,309,104 and 85,057,024

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Solution

The third proportional to 39,309,104 and 85,057,024 is: 184,046,355.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,309,104 : 85,057,024 = 85,057,024 : x
  2. Step 2: Convert to fraction form
    39,309,104/85,057,024 = 85,057,024/x
  3. Step 3: Cross multiply
    39,309,104x = 85,057,024 × 85,057,024
  4. Step 4: Simplify right side
    39,309,104x = 7,234,697,331,736,576
  5. Step 5: Solve for x
    x = 7,234,697,331,736,576/39,309,104
  6. Step 6: Final answer
    x = 184,046,355.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.