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Finding the Third Proportional to 10,974,934.50 and 23,635,524.75

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Solution

The third proportional to 10,974,934.50 and 23,635,524.75 is: 50,901,263.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974,934.50 : 23,635,524.75 = 23,635,524.75 : x
  2. Step 2: Convert to fraction form
    10,974,934.50/23,635,524.75 = 23,635,524.75/x
  3. Step 3: Cross multiply
    10,974,934.50x = 23,635,524.75 × 23,635,524.75
  4. Step 4: Simplify right side
    10,974,934.50x = 558,638,030,207,862.56
  5. Step 5: Solve for x
    x = 558,638,030,207,862.56/10,974,934.50
  6. Step 6: Final answer
    x = 50,901,263.26

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