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Finding the Third Proportional to 10,238,255 and 14,400,827

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Solution

The third proportional to 10,238,255 and 14,400,827 is: 20,255,777.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238,255 : 14,400,827 = 14,400,827 : x
  2. Step 2: Convert to fraction form
    10,238,255/14,400,827 = 14,400,827/x
  3. Step 3: Cross multiply
    10,238,255x = 14,400,827 × 14,400,827
  4. Step 4: Simplify right side
    10,238,255x = 207,383,818,283,929
  5. Step 5: Solve for x
    x = 207,383,818,283,929/10,238,255
  6. Step 6: Final answer
    x = 20,255,777.79

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.