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Finding the Third Proportional to 2,864,112,816 and 4,278,530,178

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Solution

The third proportional to 2,864,112,816 and 4,278,530,178 is: 6,391,445,330.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864,112,816 : 4,278,530,178 = 4,278,530,178 : x
  2. Step 2: Convert to fraction form
    2,864,112,816/4,278,530,178 = 4,278,530,178/x
  3. Step 3: Cross multiply
    2,864,112,816x = 4,278,530,178 × 4,278,530,178
  4. Step 4: Simplify right side
    2,864,112,816x = 18,305,820,484,056,711,168
  5. Step 5: Solve for x
    x = 18,305,820,484,056,711,168/2,864,112,816
  6. Step 6: Final answer
    x = 6,391,445,330.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.