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Finding the Third Proportional to 5,055,713 and 10,820,013

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Solution

The third proportional to 5,055,713 and 10,820,013 is: 23,156,512.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,055,713 : 10,820,013 = 10,820,013 : x
  2. Step 2: Convert to fraction form
    5,055,713/10,820,013 = 10,820,013/x
  3. Step 3: Cross multiply
    5,055,713x = 10,820,013 × 10,820,013
  4. Step 4: Simplify right side
    5,055,713x = 117,072,681,320,169
  5. Step 5: Solve for x
    x = 117,072,681,320,169/5,055,713
  6. Step 6: Final answer
    x = 23,156,512.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.