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Finding the Third Proportional to 10,974,938 and 23,635,540

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Solution

The third proportional to 10,974,938 and 23,635,540 is: 50,901,312.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974,938 : 23,635,540 = 23,635,540 : x
  2. Step 2: Convert to fraction form
    10,974,938/23,635,540 = 23,635,540/x
  3. Step 3: Cross multiply
    10,974,938x = 23,635,540 × 23,635,540
  4. Step 4: Simplify right side
    10,974,938x = 558,638,751,091,600
  5. Step 5: Solve for x
    x = 558,638,751,091,600/10,974,938
  6. Step 6: Final answer
    x = 50,901,312.71

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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.