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Finding the Third Proportional to 37,101,699 and 48,788,568

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Solution

The third proportional to 37,101,699 and 48,788,568 is: 64,156,748.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,101,699 : 48,788,568 = 48,788,568 : x
  2. Step 2: Convert to fraction form
    37,101,699/48,788,568 = 48,788,568/x
  3. Step 3: Cross multiply
    37,101,699x = 48,788,568 × 48,788,568
  4. Step 4: Simplify right side
    37,101,699x = 2,380,324,367,490,624
  5. Step 5: Solve for x
    x = 2,380,324,367,490,624/37,101,699
  6. Step 6: Final answer
    x = 64,156,748.39

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.