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Finding the Third Proportional to 3,727,354,054 and 8,282,127,662

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Solution

The third proportional to 3,727,354,054 and 8,282,127,662 is: 18,402,769,797.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727,354,054 : 8,282,127,662 = 8,282,127,662 : x
  2. Step 2: Convert to fraction form
    3,727,354,054/8,282,127,662 = 8,282,127,662/x
  3. Step 3: Cross multiply
    3,727,354,054x = 8,282,127,662 × 8,282,127,662
  4. Step 4: Simplify right side
    3,727,354,054x = 68,593,638,609,665,589,248
  5. Step 5: Solve for x
    x = 68,593,638,609,665,589,248/3,727,354,054
  6. Step 6: Final answer
    x = 18,402,769,797.53

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.