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Finding the Third Proportional to 19,914,015 and 30,755,512.50

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Solution

The third proportional to 19,914,015 and 30,755,512.50 is: 47,499,288.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,914,015 : 30,755,512.50 = 30,755,512.50 : x
  2. Step 2: Convert to fraction form
    19,914,015/30,755,512.50 = 30,755,512.50/x
  3. Step 3: Cross multiply
    19,914,015x = 30,755,512.50 × 30,755,512.50
  4. Step 4: Simplify right side
    19,914,015x = 945,901,549,137,656.25
  5. Step 5: Solve for x
    x = 945,901,549,137,656.25/19,914,015
  6. Step 6: Final answer
    x = 47,499,288.77

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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.