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Finding the Third Proportional to 40,100,828.63 and 85,956,935.63

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Solution

The third proportional to 40,100,828.63 and 85,956,935.63 is: 184,250,426.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,100,828.63 : 85,956,935.63 = 85,956,935.63 : x
  2. Step 2: Convert to fraction form
    40,100,828.63/85,956,935.63 = 85,956,935.63/x
  3. Step 3: Cross multiply
    40,100,828.63x = 85,956,935.63 × 85,956,935.63
  4. Step 4: Simplify right side
    40,100,828.63x = 7,388,594,782,040,394
  5. Step 5: Solve for x
    x = 7,388,594,782,040,394/40,100,828.63
  6. Step 6: Final answer
    x = 184,250,426.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.