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Finding the Third Proportional to 57,589,807.78 and 81,487,809.84

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Solution

The third proportional to 57,589,807.78 and 81,487,809.84 is: 115,302,749.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,589,807.78 : 81,487,809.84 = 81,487,809.84 : x
  2. Step 2: Convert to fraction form
    57,589,807.78/81,487,809.84 = 81,487,809.84/x
  3. Step 3: Cross multiply
    57,589,807.78x = 81,487,809.84 × 81,487,809.84
  4. Step 4: Simplify right side
    57,589,807.78x = 6,640,263,153,131,159
  5. Step 5: Solve for x
    x = 6,640,263,153,131,159/57,589,807.78
  6. Step 6: Final answer
    x = 115,302,749.03

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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.