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Finding the Third Proportional to 12,775,727 and 27,707,654

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Solution

The third proportional to 12,775,727 and 27,707,654 is: 60,091,616.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775,727 : 27,707,654 = 27,707,654 : x
  2. Step 2: Convert to fraction form
    12,775,727/27,707,654 = 27,707,654/x
  3. Step 3: Cross multiply
    12,775,727x = 27,707,654 × 27,707,654
  4. Step 4: Simplify right side
    12,775,727x = 767,714,090,183,716
  5. Step 5: Solve for x
    x = 767,714,090,183,716/12,775,727
  6. Step 6: Final answer
    x = 60,091,616.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.