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Finding the Third Proportional to 30,898,266.75 and 47,800,269

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Solution

The third proportional to 30,898,266.75 and 47,800,269 is: 73,948,022.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,898,266.75 : 47,800,269 = 47,800,269 : x
  2. Step 2: Convert to fraction form
    30,898,266.75/47,800,269 = 47,800,269/x
  3. Step 3: Cross multiply
    30,898,266.75x = 47,800,269 × 47,800,269
  4. Step 4: Simplify right side
    30,898,266.75x = 2,284,865,716,472,361
  5. Step 5: Solve for x
    x = 2,284,865,716,472,361/30,898,266.75
  6. Step 6: Final answer
    x = 73,948,022.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.