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Finding the Third Proportional to 47,270,003 and 102,822,175

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Solution

The third proportional to 47,270,003 and 102,822,175 is: 223,659,805.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,270,003 : 102,822,175 = 102,822,175 : x
  2. Step 2: Convert to fraction form
    47,270,003/102,822,175 = 102,822,175/x
  3. Step 3: Cross multiply
    47,270,003x = 102,822,175 × 102,822,175
  4. Step 4: Simplify right side
    47,270,003x = 10,572,399,671,730,624
  5. Step 5: Solve for x
    x = 10,572,399,671,730,624/47,270,003
  6. Step 6: Final answer
    x = 223,659,805.39

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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.