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Finding the Third Proportional to 19,733,964 and 47,541,336

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Solution

The third proportional to 19,733,964 and 47,541,336 is: 114,532,418.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,733,964 : 47,541,336 = 47,541,336 : x
  2. Step 2: Convert to fraction form
    19,733,964/47,541,336 = 47,541,336/x
  3. Step 3: Cross multiply
    19,733,964x = 47,541,336 × 47,541,336
  4. Step 4: Simplify right side
    19,733,964x = 2,260,178,628,664,896
  5. Step 5: Solve for x
    x = 2,260,178,628,664,896/19,733,964
  6. Step 6: Final answer
    x = 114,532,418.76

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.