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Finding the Third Proportional to 3,932,743,650.75 and 8,426,439,072

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Solution

The third proportional to 3,932,743,650.75 and 8,426,439,072 is: 18,054,793,736.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932,743,650.75 : 8,426,439,072 = 8,426,439,072 : x
  2. Step 2: Convert to fraction form
    3,932,743,650.75/8,426,439,072 = 8,426,439,072/x
  3. Step 3: Cross multiply
    3,932,743,650.75x = 8,426,439,072 × 8,426,439,072
  4. Step 4: Simplify right side
    3,932,743,650.75x = 71,004,875,434,128,220,160
  5. Step 5: Solve for x
    x = 71,004,875,434,128,220,160/3,932,743,650.75
  6. Step 6: Final answer
    x = 18,054,793,736.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.