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Finding the Third Proportional to 30,628,235 and 47,448,197

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Solution

The third proportional to 30,628,235 and 47,448,197 is: 73,505,097.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,628,235 : 47,448,197 = 47,448,197 : x
  2. Step 2: Convert to fraction form
    30,628,235/47,448,197 = 47,448,197/x
  3. Step 3: Cross multiply
    30,628,235x = 47,448,197 × 47,448,197
  4. Step 4: Simplify right side
    30,628,235x = 2,251,331,398,550,809
  5. Step 5: Solve for x
    x = 2,251,331,398,550,809/30,628,235
  6. Step 6: Final answer
    x = 73,505,097.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.