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Finding the Third Proportional to 37,101,713 and 48,788,589

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Solution

The third proportional to 37,101,713 and 48,788,589 is: 64,156,779.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,101,713 : 48,788,589 = 48,788,589 : x
  2. Step 2: Convert to fraction form
    37,101,713/48,788,589 = 48,788,589/x
  3. Step 3: Cross multiply
    37,101,713x = 48,788,589 × 48,788,589
  4. Step 4: Simplify right side
    37,101,713x = 2,380,326,416,610,921
  5. Step 5: Solve for x
    x = 2,380,326,416,610,921/37,101,713
  6. Step 6: Final answer
    x = 64,156,779.41

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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.