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Finding the Third Proportional to 611,761,796 and 935,197,876

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Solution

The third proportional to 611,761,796 and 935,197,876 is: 1,429,633,352.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,761,796 : 935,197,876 = 935,197,876 : x
  2. Step 2: Convert to fraction form
    611,761,796/935,197,876 = 935,197,876/x
  3. Step 3: Cross multiply
    611,761,796x = 935,197,876 × 935,197,876
  4. Step 4: Simplify right side
    611,761,796x = 874,595,067,274,911,360
  5. Step 5: Solve for x
    x = 874,595,067,274,911,360/611,761,796
  6. Step 6: Final answer
    x = 1,429,633,352.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.