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Finding the Third Proportional to 47,820,780 and 99,044,235

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Solution

The third proportional to 47,820,780 and 99,044,235 is: 205,135,936.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,820,780 : 99,044,235 = 99,044,235 : x
  2. Step 2: Convert to fraction form
    47,820,780/99,044,235 = 99,044,235/x
  3. Step 3: Cross multiply
    47,820,780x = 99,044,235 × 99,044,235
  4. Step 4: Simplify right side
    47,820,780x = 9,809,760,486,735,224
  5. Step 5: Solve for x
    x = 9,809,760,486,735,224/47,820,780
  6. Step 6: Final answer
    x = 205,135,936.44

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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.