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Finding the Third Proportional to 27,684,969 and 60,582,855

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Solution

The third proportional to 27,684,969 and 60,582,855 is: 132,573,105.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,684,969 : 60,582,855 = 60,582,855 : x
  2. Step 2: Convert to fraction form
    27,684,969/60,582,855 = 60,582,855/x
  3. Step 3: Cross multiply
    27,684,969x = 60,582,855 × 60,582,855
  4. Step 4: Simplify right side
    27,684,969x = 3,670,282,319,951,025
  5. Step 5: Solve for x
    x = 3,670,282,319,951,025/27,684,969
  6. Step 6: Final answer
    x = 132,573,105.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.