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Finding the Third Proportional to 57,789,672.75 and 84,611,223

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Solution

The third proportional to 57,789,672.75 and 84,611,223 is: 123,881,287.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,789,672.75 : 84,611,223 = 84,611,223 : x
  2. Step 2: Convert to fraction form
    57,789,672.75/84,611,223 = 84,611,223/x
  3. Step 3: Cross multiply
    57,789,672.75x = 84,611,223 × 84,611,223
  4. Step 4: Simplify right side
    57,789,672.75x = 7,159,059,057,555,729
  5. Step 5: Solve for x
    x = 7,159,059,057,555,729/57,789,672.75
  6. Step 6: Final answer
    x = 123,881,287.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.