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Finding the Third Proportional to 22,723,769 and 31,962,576

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Solution

The third proportional to 22,723,769 and 31,962,576 is: 44,957,606.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,723,769 : 31,962,576 = 31,962,576 : x
  2. Step 2: Convert to fraction form
    22,723,769/31,962,576 = 31,962,576/x
  3. Step 3: Cross multiply
    22,723,769x = 31,962,576 × 31,962,576
  4. Step 4: Simplify right side
    22,723,769x = 1,021,606,264,555,776
  5. Step 5: Solve for x
    x = 1,021,606,264,555,776/22,723,769
  6. Step 6: Final answer
    x = 44,957,606.48

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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.