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Finding the Third Proportional to 53,103,104 and 82,012,976

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Solution

The third proportional to 53,103,104 and 82,012,976 is: 126,661,677.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,103,104 : 82,012,976 = 82,012,976 : x
  2. Step 2: Convert to fraction form
    53,103,104/82,012,976 = 82,012,976/x
  3. Step 3: Cross multiply
    53,103,104x = 82,012,976 × 82,012,976
  4. Step 4: Simplify right side
    53,103,104x = 6,726,128,232,376,576
  5. Step 5: Solve for x
    x = 6,726,128,232,376,576/53,103,104
  6. Step 6: Final answer
    x = 126,661,677.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.