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Finding the Third Proportional to 47,783,524 and 73,788,054

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Solution

The third proportional to 47,783,524 and 73,788,054 is: 113,944,649.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,783,524 : 73,788,054 = 73,788,054 : x
  2. Step 2: Convert to fraction form
    47,783,524/73,788,054 = 73,788,054/x
  3. Step 3: Cross multiply
    47,783,524x = 73,788,054 × 73,788,054
  4. Step 4: Simplify right side
    47,783,524x = 5,444,676,913,106,916
  5. Step 5: Solve for x
    x = 5,444,676,913,106,916/47,783,524
  6. Step 6: Final answer
    x = 113,944,649.90

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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.