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Finding the Third Proportional to 57,696,364 and 82,500,268

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Solution

The third proportional to 57,696,364 and 82,500,268 is: 117,967,472.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,696,364 : 82,500,268 = 82,500,268 : x
  2. Step 2: Convert to fraction form
    57,696,364/82,500,268 = 82,500,268/x
  3. Step 3: Cross multiply
    57,696,364x = 82,500,268 × 82,500,268
  4. Step 4: Simplify right side
    57,696,364x = 6,806,294,220,071,824
  5. Step 5: Solve for x
    x = 6,806,294,220,071,824/57,696,364
  6. Step 6: Final answer
    x = 117,967,472.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.