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Finding the Third Proportional to 57,811,224 and 85,119,963

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Solution

The third proportional to 57,811,224 and 85,119,963 is: 125,328,744.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,811,224 : 85,119,963 = 85,119,963 : x
  2. Step 2: Convert to fraction form
    57,811,224/85,119,963 = 85,119,963/x
  3. Step 3: Cross multiply
    57,811,224x = 85,119,963 × 85,119,963
  4. Step 4: Simplify right side
    57,811,224x = 7,245,408,101,121,369
  5. Step 5: Solve for x
    x = 7,245,408,101,121,369/57,811,224
  6. Step 6: Final answer
    x = 125,328,744.14

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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.