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Finding the Third Proportional to 57,589,711 and 81,487,679

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Solution

The third proportional to 57,589,711 and 81,487,679 is: 115,302,572.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,589,711 : 81,487,679 = 81,487,679 : x
  2. Step 2: Convert to fraction form
    57,589,711/81,487,679 = 81,487,679/x
  3. Step 3: Cross multiply
    57,589,711x = 81,487,679 × 81,487,679
  4. Step 4: Simplify right side
    57,589,711x = 6,640,241,828,807,041
  5. Step 5: Solve for x
    x = 6,640,241,828,807,041/57,589,711
  6. Step 6: Final answer
    x = 115,302,572.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.