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Finding the Third Proportional to 30,399,826.50 and 47,053,824.75

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Solution

The third proportional to 30,399,826.50 and 47,053,824.75 is: 72,831,416.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,399,826.50 : 47,053,824.75 = 47,053,824.75 : x
  2. Step 2: Convert to fraction form
    30,399,826.50/47,053,824.75 = 47,053,824.75/x
  3. Step 3: Cross multiply
    30,399,826.50x = 47,053,824.75 × 47,053,824.75
  4. Step 4: Simplify right side
    30,399,826.50x = 2,214,062,423,603,712.50
  5. Step 5: Solve for x
    x = 2,214,062,423,603,712.50/30,399,826.50
  6. Step 6: Final answer
    x = 72,831,416.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.