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Finding the Third Proportional to 12,479,834,642 and 25,395,518,116

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Solution

The third proportional to 12,479,834,642 and 25,395,518,116 is: 51,677,955,588.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,479,834,642 : 25,395,518,116 = 25,395,518,116 : x
  2. Step 2: Convert to fraction form
    12,479,834,642/25,395,518,116 = 25,395,518,116/x
  3. Step 3: Cross multiply
    12,479,834,642x = 25,395,518,116 × 25,395,518,116
  4. Step 4: Simplify right side
    12,479,834,642x = 644,932,340,380,084,207,616
  5. Step 5: Solve for x
    x = 644,932,340,380,084,207,616/12,479,834,642
  6. Step 6: Final answer
    x = 51,677,955,588.42

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.