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Finding the Third Proportional to 70,288,579,137 and 107,077,387,979

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Solution

The third proportional to 70,288,579,137 and 107,077,387,979 is: 163,121,337,167.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,288,579,137 : 107,077,387,979 = 107,077,387,979 : x
  2. Step 2: Convert to fraction form
    70,288,579,137/107,077,387,979 = 107,077,387,979/x
  3. Step 3: Cross multiply
    70,288,579,137x = 107,077,387,979 × 107,077,387,979
  4. Step 4: Simplify right side
    70,288,579,137x = 11,465,567,016,405,293,858,816
  5. Step 5: Solve for x
    x = 11,465,567,016,405,293,858,816/70,288,579,137
  6. Step 6: Final answer
    x = 163,121,337,167.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.