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Finding the Third Proportional to 51,389,125,462.69 and 78,560,728,808.34

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Solution

The third proportional to 51,389,125,462.69 and 78,560,728,808.34 is: 120,099,107,648.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,389,125,462.69 : 78,560,728,808.34 = 78,560,728,808.34 : x
  2. Step 2: Convert to fraction form
    51,389,125,462.69/78,560,728,808.34 = 78,560,728,808.34/x
  3. Step 3: Cross multiply
    51,389,125,462.69x = 78,560,728,808.34 × 78,560,728,808.34
  4. Step 4: Simplify right side
    51,389,125,462.69x = 6,171,788,110,898,014,453,760
  5. Step 5: Solve for x
    x = 6,171,788,110,898,014,453,760/51,389,125,462.69
  6. Step 6: Final answer
    x = 120,099,107,648.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.