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Finding the Third Proportional to 853,671,177 and 1,903,629,021

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Solution

The third proportional to 853,671,177 and 1,903,629,021 is: 4,244,964,041.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,671,177 : 1,903,629,021 = 1,903,629,021 : x
  2. Step 2: Convert to fraction form
    853,671,177/1,903,629,021 = 1,903,629,021/x
  3. Step 3: Cross multiply
    853,671,177x = 1,903,629,021 × 1,903,629,021
  4. Step 4: Simplify right side
    853,671,177x = 3,623,803,449,593,418,240
  5. Step 5: Solve for x
    x = 3,623,803,449,593,418,240/853,671,177
  6. Step 6: Final answer
    x = 4,244,964,041.46

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.