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Finding the Third Proportional to 57,984,972 and 81,109,631

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Solution

The third proportional to 57,984,972 and 81,109,631 is: 113,456,504.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,984,972 : 81,109,631 = 81,109,631 : x
  2. Step 2: Convert to fraction form
    57,984,972/81,109,631 = 81,109,631/x
  3. Step 3: Cross multiply
    57,984,972x = 81,109,631 × 81,109,631
  4. Step 4: Simplify right side
    57,984,972x = 6,578,772,240,956,161
  5. Step 5: Solve for x
    x = 6,578,772,240,956,161/57,984,972
  6. Step 6: Final answer
    x = 113,456,504.57

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.