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Finding the Third Proportional to 47,270,005 and 102,822,180

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Solution

The third proportional to 47,270,005 and 102,822,180 is: 223,659,817.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,270,005 : 102,822,180 = 102,822,180 : x
  2. Step 2: Convert to fraction form
    47,270,005/102,822,180 = 102,822,180/x
  3. Step 3: Cross multiply
    47,270,005x = 102,822,180 × 102,822,180
  4. Step 4: Simplify right side
    47,270,005x = 10,572,400,699,952,400
  5. Step 5: Solve for x
    x = 10,572,400,699,952,400/47,270,005
  6. Step 6: Final answer
    x = 223,659,817.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.