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Finding the Third Proportional to 2,694,837,041.02 and 5,864,201,481.23

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Solution

The third proportional to 2,694,837,041.02 and 5,864,201,481.23 is: 12,761,016,153.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694,837,041.02 : 5,864,201,481.23 = 5,864,201,481.23 : x
  2. Step 2: Convert to fraction form
    2,694,837,041.02/5,864,201,481.23 = 5,864,201,481.23/x
  3. Step 3: Cross multiply
    2,694,837,041.02x = 5,864,201,481.23 × 5,864,201,481.23
  4. Step 4: Simplify right side
    2,694,837,041.02x = 34,388,859,012,512,903,168
  5. Step 5: Solve for x
    x = 34,388,859,012,512,903,168/2,694,837,041.02
  6. Step 6: Final answer
    x = 12,761,016,153.89

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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.