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Finding the Third Proportional to 4,187,873,187 and 9,073,677,671

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Solution

The third proportional to 4,187,873,187 and 9,073,677,671 is: 19,659,531,891.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187,873,187 : 9,073,677,671 = 9,073,677,671 : x
  2. Step 2: Convert to fraction form
    4,187,873,187/9,073,677,671 = 9,073,677,671/x
  3. Step 3: Cross multiply
    4,187,873,187x = 9,073,677,671 × 9,073,677,671
  4. Step 4: Simplify right side
    4,187,873,187x = 82,331,626,477,203,980,288
  5. Step 5: Solve for x
    x = 82,331,626,477,203,980,288/4,187,873,187
  6. Step 6: Final answer
    x = 19,659,531,891.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.