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Finding the Third Proportional to 10,715,571 and 23,512,275

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Solution

The third proportional to 10,715,571 and 23,512,275 is: 51,591,004.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,715,571 : 23,512,275 = 23,512,275 : x
  2. Step 2: Convert to fraction form
    10,715,571/23,512,275 = 23,512,275/x
  3. Step 3: Cross multiply
    10,715,571x = 23,512,275 × 23,512,275
  4. Step 4: Simplify right side
    10,715,571x = 552,827,075,675,625
  5. Step 5: Solve for x
    x = 552,827,075,675,625/10,715,571
  6. Step 6: Final answer
    x = 51,591,004.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.