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Finding the Third Proportional to 47,851,132 and 104,965,587

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Solution

The third proportional to 47,851,132 and 104,965,587 is: 230,251,072.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,851,132 : 104,965,587 = 104,965,587 : x
  2. Step 2: Convert to fraction form
    47,851,132/104,965,587 = 104,965,587/x
  3. Step 3: Cross multiply
    47,851,132x = 104,965,587 × 104,965,587
  4. Step 4: Simplify right side
    47,851,132x = 11,017,774,454,254,568
  5. Step 5: Solve for x
    x = 11,017,774,454,254,568/47,851,132
  6. Step 6: Final answer
    x = 230,251,072.31

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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.