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Finding the Third Proportional to 19,914,014 and 30,755,511

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Solution

The third proportional to 19,914,014 and 30,755,511 is: 47,499,286.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,914,014 : 30,755,511 = 30,755,511 : x
  2. Step 2: Convert to fraction form
    19,914,014/30,755,511 = 30,755,511/x
  3. Step 3: Cross multiply
    19,914,014x = 30,755,511 × 30,755,511
  4. Step 4: Simplify right side
    19,914,014x = 945,901,456,871,121
  5. Step 5: Solve for x
    x = 945,901,456,871,121/19,914,014
  6. Step 6: Final answer
    x = 47,499,286.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.