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Finding the Third Proportional to 47,820,782 and 99,044,239

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Solution

The third proportional to 47,820,782 and 99,044,239 is: 205,135,944.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,820,782 : 99,044,239 = 99,044,239 : x
  2. Step 2: Convert to fraction form
    47,820,782/99,044,239 = 99,044,239/x
  3. Step 3: Cross multiply
    47,820,782x = 99,044,239 × 99,044,239
  4. Step 4: Simplify right side
    47,820,782x = 9,809,761,279,089,120
  5. Step 5: Solve for x
    x = 9,809,761,279,089,120/47,820,782
  6. Step 6: Final answer
    x = 205,135,944.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.