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Finding the Third Proportional to 38,427,172.59 and 83,677,270.78

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Solution

The third proportional to 38,427,172.59 and 83,677,270.78 is: 182,211,835.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,427,172.59 : 83,677,270.78 = 83,677,270.78 : x
  2. Step 2: Convert to fraction form
    38,427,172.59/83,677,270.78 = 83,677,270.78/x
  3. Step 3: Cross multiply
    38,427,172.59x = 83,677,270.78 × 83,677,270.78
  4. Step 4: Simplify right side
    38,427,172.59x = 7,001,885,645,398,635
  5. Step 5: Solve for x
    x = 7,001,885,645,398,635/38,427,172.59
  6. Step 6: Final answer
    x = 182,211,835.34

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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.