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Finding the Third Proportional to 37,884,270 and 81,681,876

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Solution

The third proportional to 37,884,270 and 81,681,876 is: 176,113,433.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,884,270 : 81,681,876 = 81,681,876 : x
  2. Step 2: Convert to fraction form
    37,884,270/81,681,876 = 81,681,876/x
  3. Step 3: Cross multiply
    37,884,270x = 81,681,876 × 81,681,876
  4. Step 4: Simplify right side
    37,884,270x = 6,671,928,866,879,376
  5. Step 5: Solve for x
    x = 6,671,928,866,879,376/37,884,270
  6. Step 6: Final answer
    x = 176,113,433.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.