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Finding the Third Proportional to 39,359,486 and 85,409,311

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Solution

The third proportional to 39,359,486 and 85,409,311 is: 185,336,526.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,359,486 : 85,409,311 = 85,409,311 : x
  2. Step 2: Convert to fraction form
    39,359,486/85,409,311 = 85,409,311/x
  3. Step 3: Cross multiply
    39,359,486x = 85,409,311 × 85,409,311
  4. Step 4: Simplify right side
    39,359,486x = 7,294,750,405,494,721
  5. Step 5: Solve for x
    x = 7,294,750,405,494,721/39,359,486
  6. Step 6: Final answer
    x = 185,336,526.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.