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Finding the Third Proportional to 37,897,723 and 83,351,987

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Solution

The third proportional to 37,897,723 and 83,351,987 is: 183,323,777.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,897,723 : 83,351,987 = 83,351,987 : x
  2. Step 2: Convert to fraction form
    37,897,723/83,351,987 = 83,351,987/x
  3. Step 3: Cross multiply
    37,897,723x = 83,351,987 × 83,351,987
  4. Step 4: Simplify right side
    37,897,723x = 6,947,553,736,848,169
  5. Step 5: Solve for x
    x = 6,947,553,736,848,169/37,897,723
  6. Step 6: Final answer
    x = 183,323,777.44

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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.