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Finding the Third Proportional to 55,764,039 and 120,792,207

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Solution

The third proportional to 55,764,039 and 120,792,207 is: 261,651,729.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,764,039 : 120,792,207 = 120,792,207 : x
  2. Step 2: Convert to fraction form
    55,764,039/120,792,207 = 120,792,207/x
  3. Step 3: Cross multiply
    55,764,039x = 120,792,207 × 120,792,207
  4. Step 4: Simplify right side
    55,764,039x = 14,590,757,271,930,848
  5. Step 5: Solve for x
    x = 14,590,757,271,930,848/55,764,039
  6. Step 6: Final answer
    x = 261,651,729.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.