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Finding the Third Proportional to 3,138,077,504 and 6,827,751,233.25

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Solution

The third proportional to 3,138,077,504 and 6,827,751,233.25 is: 14,855,651,858.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138,077,504 : 6,827,751,233.25 = 6,827,751,233.25 : x
  2. Step 2: Convert to fraction form
    3,138,077,504/6,827,751,233.25 = 6,827,751,233.25/x
  3. Step 3: Cross multiply
    3,138,077,504x = 6,827,751,233.25 × 6,827,751,233.25
  4. Step 4: Simplify right side
    3,138,077,504x = 46,618,186,903,146,897,408
  5. Step 5: Solve for x
    x = 46,618,186,903,146,897,408/3,138,077,504
  6. Step 6: Final answer
    x = 14,855,651,858.10

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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.