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Finding the Third Proportional to 38,427,175 and 83,677,275

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Solution

The third proportional to 38,427,175 and 83,677,275 is: 182,211,842.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,427,175 : 83,677,275 = 83,677,275 : x
  2. Step 2: Convert to fraction form
    38,427,175/83,677,275 = 83,677,275/x
  3. Step 3: Cross multiply
    38,427,175x = 83,677,275 × 83,677,275
  4. Step 4: Simplify right side
    38,427,175x = 7,001,886,351,425,625
  5. Step 5: Solve for x
    x = 7,001,886,351,425,625/38,427,175
  6. Step 6: Final answer
    x = 182,211,842.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.