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Finding the Third Proportional to 38,427,216 and 83,677,341

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Solution

The third proportional to 38,427,216 and 83,677,341 is: 182,211,935.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,427,216 : 83,677,341 = 83,677,341 : x
  2. Step 2: Convert to fraction form
    38,427,216/83,677,341 = 83,677,341/x
  3. Step 3: Cross multiply
    38,427,216x = 83,677,341 × 83,677,341
  4. Step 4: Simplify right side
    38,427,216x = 7,001,897,396,830,281
  5. Step 5: Solve for x
    x = 7,001,897,396,830,281/38,427,216
  6. Step 6: Final answer
    x = 182,211,935.33

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