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Finding the Third Proportional to 40,723,998 and 87,824,244

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Solution

The third proportional to 40,723,998 and 87,824,244 is: 189,399,327.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,723,998 : 87,824,244 = 87,824,244 : x
  2. Step 2: Convert to fraction form
    40,723,998/87,824,244 = 87,824,244/x
  3. Step 3: Cross multiply
    40,723,998x = 87,824,244 × 87,824,244
  4. Step 4: Simplify right side
    40,723,998x = 7,713,097,834,171,536
  5. Step 5: Solve for x
    x = 7,713,097,834,171,536/40,723,998
  6. Step 6: Final answer
    x = 189,399,327.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.