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Finding the Third Proportional to 17,671,112 and 38,650,768

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Solution

The third proportional to 17,671,112 and 38,650,768 is: 84,538,079.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,671,112 : 38,650,768 = 38,650,768 : x
  2. Step 2: Convert to fraction form
    17,671,112/38,650,768 = 38,650,768/x
  3. Step 3: Cross multiply
    17,671,112x = 38,650,768 × 38,650,768
  4. Step 4: Simplify right side
    17,671,112x = 1,493,881,866,989,824
  5. Step 5: Solve for x
    x = 1,493,881,866,989,824/17,671,112
  6. Step 6: Final answer
    x = 84,538,079.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.