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Finding the Third Proportional to 57,589,688.81 and 81,487,645.31

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Solution

The third proportional to 57,589,688.81 and 81,487,645.31 is: 115,302,521.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,589,688.81 : 81,487,645.31 = 81,487,645.31 : x
  2. Step 2: Convert to fraction form
    57,589,688.81/81,487,645.31 = 81,487,645.31/x
  3. Step 3: Cross multiply
    57,589,688.81x = 81,487,645.31 × 81,487,645.31
  4. Step 4: Simplify right side
    57,589,688.81x = 6,640,236,338,575,803
  5. Step 5: Solve for x
    x = 6,640,236,338,575,803/57,589,688.81
  6. Step 6: Final answer
    x = 115,302,521.61

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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.