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Finding the Third Proportional to 37,147,691,870 and 56,801,928,288

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Solution

The third proportional to 37,147,691,870 and 56,801,928,288 is: 86,854,899,855.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,147,691,870 : 56,801,928,288 = 56,801,928,288 : x
  2. Step 2: Convert to fraction form
    37,147,691,870/56,801,928,288 = 56,801,928,288/x
  3. Step 3: Cross multiply
    37,147,691,870x = 56,801,928,288 × 56,801,928,288
  4. Step 4: Simplify right side
    37,147,691,870x = 3,226,459,057,235,094,405,120
  5. Step 5: Solve for x
    x = 3,226,459,057,235,094,405,120/37,147,691,870
  6. Step 6: Final answer
    x = 86,854,899,855.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.