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Finding the Third Proportional to 40,723,964 and 87,824,176

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Solution

The third proportional to 40,723,964 and 87,824,176 is: 189,399,192.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,723,964 : 87,824,176 = 87,824,176 : x
  2. Step 2: Convert to fraction form
    40,723,964/87,824,176 = 87,824,176/x
  3. Step 3: Cross multiply
    40,723,964x = 87,824,176 × 87,824,176
  4. Step 4: Simplify right side
    40,723,964x = 7,713,085,890,078,976
  5. Step 5: Solve for x
    x = 7,713,085,890,078,976/40,723,964
  6. Step 6: Final answer
    x = 189,399,192.33

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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.