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Finding the Third Proportional to 6,855,648,602.06 and 13,904,062,436.81

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Solution

The third proportional to 6,855,648,602.06 and 13,904,062,436.81 is: 28,199,075,458.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855,648,602.06 : 13,904,062,436.81 = 13,904,062,436.81 : x
  2. Step 2: Convert to fraction form
    6,855,648,602.06/13,904,062,436.81 = 13,904,062,436.81/x
  3. Step 3: Cross multiply
    6,855,648,602.06x = 13,904,062,436.81 × 13,904,062,436.81
  4. Step 4: Simplify right side
    6,855,648,602.06x = 193,322,952,246,794,256,384
  5. Step 5: Solve for x
    x = 193,322,952,246,794,256,384/6,855,648,602.06
  6. Step 6: Final answer
    x = 28,199,075,458.54

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.