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Finding the Third Proportional to 2,467,012,772 and 5,386,100,068

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Solution

The third proportional to 2,467,012,772 and 5,386,100,068 is: 11,759,190,820.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467,012,772 : 5,386,100,068 = 5,386,100,068 : x
  2. Step 2: Convert to fraction form
    2,467,012,772/5,386,100,068 = 5,386,100,068/x
  3. Step 3: Cross multiply
    2,467,012,772x = 5,386,100,068 × 5,386,100,068
  4. Step 4: Simplify right side
    2,467,012,772x = 29,010,073,942,509,604,864
  5. Step 5: Solve for x
    x = 29,010,073,942,509,604,864/2,467,012,772
  6. Step 6: Final answer
    x = 11,759,190,820.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.