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Finding the Third Proportional to 4,755,966 and 10,420,899

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Solution

The third proportional to 4,755,966 and 10,420,899 is: 22,833,455.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,755,966 : 10,420,899 = 10,420,899 : x
  2. Step 2: Convert to fraction form
    4,755,966/10,420,899 = 10,420,899/x
  3. Step 3: Cross multiply
    4,755,966x = 10,420,899 × 10,420,899
  4. Step 4: Simplify right side
    4,755,966x = 108,595,135,968,201
  5. Step 5: Solve for x
    x = 108,595,135,968,201/4,755,966
  6. Step 6: Final answer
    x = 22,833,455.07

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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.