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Finding the Third Proportional to 14,527,596 and 23,407,836

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Solution

The third proportional to 14,527,596 and 23,407,836 is: 37,716,273.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,527,596 : 23,407,836 = 23,407,836 : x
  2. Step 2: Convert to fraction form
    14,527,596/23,407,836 = 23,407,836/x
  3. Step 3: Cross multiply
    14,527,596x = 23,407,836 × 23,407,836
  4. Step 4: Simplify right side
    14,527,596x = 547,926,786,202,896
  5. Step 5: Solve for x
    x = 547,926,786,202,896/14,527,596
  6. Step 6: Final answer
    x = 37,716,273.65

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.