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Finding the Third Proportional to 55,795,014 and 120,139,812

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Solution

The third proportional to 55,795,014 and 120,139,812 is: 258,689,323.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,795,014 : 120,139,812 = 120,139,812 : x
  2. Step 2: Convert to fraction form
    55,795,014/120,139,812 = 120,139,812/x
  3. Step 3: Cross multiply
    55,795,014x = 120,139,812 × 120,139,812
  4. Step 4: Simplify right side
    55,795,014x = 14,433,574,427,395,344
  5. Step 5: Solve for x
    x = 14,433,574,427,395,344/55,795,014
  6. Step 6: Final answer
    x = 258,689,323.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.