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Finding the Third Proportional to 47,270,138 and 102,822,472

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Solution

The third proportional to 47,270,138 and 102,822,472 is: 223,660,458.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,270,138 : 102,822,472 = 102,822,472 : x
  2. Step 2: Convert to fraction form
    47,270,138/102,822,472 = 102,822,472/x
  3. Step 3: Cross multiply
    47,270,138x = 102,822,472 × 102,822,472
  4. Step 4: Simplify right side
    47,270,138x = 10,572,460,748,190,784
  5. Step 5: Solve for x
    x = 10,572,460,748,190,784/47,270,138
  6. Step 6: Final answer
    x = 223,660,458.71

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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.