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Finding the Third Proportional to 26,120,960 and 41,184,768

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Solution

The third proportional to 26,120,960 and 41,184,768 is: 64,935,787.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,120,960 : 41,184,768 = 41,184,768 : x
  2. Step 2: Convert to fraction form
    26,120,960/41,184,768 = 41,184,768/x
  3. Step 3: Cross multiply
    26,120,960x = 41,184,768 × 41,184,768
  4. Step 4: Simplify right side
    26,120,960x = 1,696,185,115,213,824
  5. Step 5: Solve for x
    x = 1,696,185,115,213,824/26,120,960
  6. Step 6: Final answer
    x = 64,935,787.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.