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Finding the Third Proportional to 81,053,033 and 174,415,910

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Solution

The third proportional to 81,053,033 and 174,415,910 is: 375,321,052.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,053,033 : 174,415,910 = 174,415,910 : x
  2. Step 2: Convert to fraction form
    81,053,033/174,415,910 = 174,415,910/x
  3. Step 3: Cross multiply
    81,053,033x = 174,415,910 × 174,415,910
  4. Step 4: Simplify right side
    81,053,033x = 30,420,909,661,128,100
  5. Step 5: Solve for x
    x = 30,420,909,661,128,100/81,053,033
  6. Step 6: Final answer
    x = 375,321,052.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.