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Finding the Third Proportional to 11,814,878 and 17,702,607

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Solution

The third proportional to 11,814,878 and 17,702,607 is: 26,524,378.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814,878 : 17,702,607 = 17,702,607 : x
  2. Step 2: Convert to fraction form
    11,814,878/17,702,607 = 17,702,607/x
  3. Step 3: Cross multiply
    11,814,878x = 17,702,607 × 17,702,607
  4. Step 4: Simplify right side
    11,814,878x = 313,382,294,596,449
  5. Step 5: Solve for x
    x = 313,382,294,596,449/11,814,878
  6. Step 6: Final answer
    x = 26,524,378.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.