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Finding the Third Proportional to 4,187,873,181 and 9,073,677,658.50

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Solution

The third proportional to 4,187,873,181 and 9,073,677,658.50 is: 19,659,531,865.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187,873,181 : 9,073,677,658.50 = 9,073,677,658.50 : x
  2. Step 2: Convert to fraction form
    4,187,873,181/9,073,677,658.50 = 9,073,677,658.50/x
  3. Step 3: Cross multiply
    4,187,873,181x = 9,073,677,658.50 × 9,073,677,658.50
  4. Step 4: Simplify right side
    4,187,873,181x = 82,331,626,250,362,044,416
  5. Step 5: Solve for x
    x = 82,331,626,250,362,044,416/4,187,873,181
  6. Step 6: Final answer
    x = 19,659,531,865.46

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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.