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Finding the Third Proportional to 20,732,823.75 and 30,691,269

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Solution

The third proportional to 20,732,823.75 and 30,691,269 is: 45,432,981.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,732,823.75 : 30,691,269 = 30,691,269 : x
  2. Step 2: Convert to fraction form
    20,732,823.75/30,691,269 = 30,691,269/x
  3. Step 3: Cross multiply
    20,732,823.75x = 30,691,269 × 30,691,269
  4. Step 4: Simplify right side
    20,732,823.75x = 941,953,992,830,361
  5. Step 5: Solve for x
    x = 941,953,992,830,361/20,732,823.75
  6. Step 6: Final answer
    x = 45,432,981.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.