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Finding the Third Proportional to 70,288,579,135 and 107,077,387,976

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Solution

The third proportional to 70,288,579,135 and 107,077,387,976 is: 163,121,337,162.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,288,579,135 : 107,077,387,976 = 107,077,387,976 : x
  2. Step 2: Convert to fraction form
    70,288,579,135/107,077,387,976 = 107,077,387,976/x
  3. Step 3: Cross multiply
    70,288,579,135x = 107,077,387,976 × 107,077,387,976
  4. Step 4: Simplify right side
    70,288,579,135x = 11,465,567,015,762,829,246,464
  5. Step 5: Solve for x
    x = 11,465,567,015,762,829,246,464/70,288,579,135
  6. Step 6: Final answer
    x = 163,121,337,162.63

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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.