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Finding the Third Proportional to 37,897,718 and 83,351,977

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Solution

The third proportional to 37,897,718 and 83,351,977 is: 183,323,757.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,897,718 : 83,351,977 = 83,351,977 : x
  2. Step 2: Convert to fraction form
    37,897,718/83,351,977 = 83,351,977/x
  3. Step 3: Cross multiply
    37,897,718x = 83,351,977 × 83,351,977
  4. Step 4: Simplify right side
    37,897,718x = 6,947,552,069,808,529
  5. Step 5: Solve for x
    x = 6,947,552,069,808,529/37,897,718
  6. Step 6: Final answer
    x = 183,323,757.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.