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Finding the Third Proportional to 23,267,771 and 51,151,206

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Solution

The third proportional to 23,267,771 and 51,151,206 is: 112,449,356.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,267,771 : 51,151,206 = 51,151,206 : x
  2. Step 2: Convert to fraction form
    23,267,771/51,151,206 = 51,151,206/x
  3. Step 3: Cross multiply
    23,267,771x = 51,151,206 × 51,151,206
  4. Step 4: Simplify right side
    23,267,771x = 2,616,445,875,254,436
  5. Step 5: Solve for x
    x = 2,616,445,875,254,436/23,267,771
  6. Step 6: Final answer
    x = 112,449,356.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.