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Finding the Third Proportional to 5,022,497.81 and 10,901,205.84

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Solution

The third proportional to 5,022,497.81 and 10,901,205.84 is: 23,660,794.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,022,497.81 : 10,901,205.84 = 10,901,205.84 : x
  2. Step 2: Convert to fraction form
    5,022,497.81/10,901,205.84 = 10,901,205.84/x
  3. Step 3: Cross multiply
    5,022,497.81x = 10,901,205.84 × 10,901,205.84
  4. Step 4: Simplify right side
    5,022,497.81x = 118,836,288,847,809.16
  5. Step 5: Solve for x
    x = 118,836,288,847,809.16/5,022,497.81
  6. Step 6: Final answer
    x = 23,660,794.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.