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Finding the Third Proportional to 47,823,136 and 76,133,190

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Solution

The third proportional to 47,823,136 and 76,133,190 is: 121,202,060.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,823,136 : 76,133,190 = 76,133,190 : x
  2. Step 2: Convert to fraction form
    47,823,136/76,133,190 = 76,133,190/x
  3. Step 3: Cross multiply
    47,823,136x = 76,133,190 × 76,133,190
  4. Step 4: Simplify right side
    47,823,136x = 5,796,262,619,576,100
  5. Step 5: Solve for x
    x = 5,796,262,619,576,100/47,823,136
  6. Step 6: Final answer
    x = 121,202,060.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.