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Finding the Third Proportional to 27,832,146 and 44,740,029

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Solution

The third proportional to 27,832,146 and 44,740,029 is: 71,919,362.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832,146 : 44,740,029 = 44,740,029 : x
  2. Step 2: Convert to fraction form
    27,832,146/44,740,029 = 44,740,029/x
  3. Step 3: Cross multiply
    27,832,146x = 44,740,029 × 44,740,029
  4. Step 4: Simplify right side
    27,832,146x = 2,001,670,194,920,841
  5. Step 5: Solve for x
    x = 2,001,670,194,920,841/27,832,146
  6. Step 6: Final answer
    x = 71,919,362.41

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.