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Finding the Third Proportional to 39,833,188 and 85,719,829

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Solution

The third proportional to 39,833,188 and 85,719,829 is: 184,466,507.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,833,188 : 85,719,829 = 85,719,829 : x
  2. Step 2: Convert to fraction form
    39,833,188/85,719,829 = 85,719,829/x
  3. Step 3: Cross multiply
    39,833,188x = 85,719,829 × 85,719,829
  4. Step 4: Simplify right side
    39,833,188x = 7,347,889,083,789,241
  5. Step 5: Solve for x
    x = 7,347,889,083,789,241/39,833,188
  6. Step 6: Final answer
    x = 184,466,507.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.