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Finding the Third Proportional to 5,359,560 and 11,682,768

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Solution

The third proportional to 5,359,560 and 11,682,768 is: 25,466,095.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,359,560 : 11,682,768 = 11,682,768 : x
  2. Step 2: Convert to fraction form
    5,359,560/11,682,768 = 11,682,768/x
  3. Step 3: Cross multiply
    5,359,560x = 11,682,768 × 11,682,768
  4. Step 4: Simplify right side
    5,359,560x = 136,487,068,141,824
  5. Step 5: Solve for x
    x = 136,487,068,141,824/5,359,560
  6. Step 6: Final answer
    x = 25,466,095.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.