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Finding the Third Proportional to 47,169,362 and 102,646,084

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Solution

The third proportional to 47,169,362 and 102,646,084 is: 223,369,961.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,169,362 : 102,646,084 = 102,646,084 : x
  2. Step 2: Convert to fraction form
    47,169,362/102,646,084 = 102,646,084/x
  3. Step 3: Cross multiply
    47,169,362x = 102,646,084 × 102,646,084
  4. Step 4: Simplify right side
    47,169,362x = 10,536,218,560,535,056
  5. Step 5: Solve for x
    x = 10,536,218,560,535,056/47,169,362
  6. Step 6: Final answer
    x = 223,369,961.22

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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.