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Finding the Third Proportional to 47,851,137 and 104,965,596

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Solution

The third proportional to 47,851,137 and 104,965,596 is: 230,251,087.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,851,137 : 104,965,596 = 104,965,596 : x
  2. Step 2: Convert to fraction form
    47,851,137/104,965,596 = 104,965,596/x
  3. Step 3: Cross multiply
    47,851,137x = 104,965,596 × 104,965,596
  4. Step 4: Simplify right side
    47,851,137x = 11,017,776,343,635,216
  5. Step 5: Solve for x
    x = 11,017,776,343,635,216/47,851,137
  6. Step 6: Final answer
    x = 230,251,087.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.