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Finding the Third Proportional to 35,815,306.78 and 76,740,903.56

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Solution

The third proportional to 35,815,306.78 and 76,740,903.56 is: 164,431,546.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,815,306.78 : 76,740,903.56 = 76,740,903.56 : x
  2. Step 2: Convert to fraction form
    35,815,306.78/76,740,903.56 = 76,740,903.56/x
  3. Step 3: Cross multiply
    35,815,306.78x = 76,740,903.56 × 76,740,903.56
  4. Step 4: Simplify right side
    35,815,306.78x = 5,889,166,279,588,925
  5. Step 5: Solve for x
    x = 5,889,166,279,588,925/35,815,306.78
  6. Step 6: Final answer
    x = 164,431,546.42

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.