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Finding the Third Proportional to 12,786,051 and 27,388,122

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Solution

The third proportional to 12,786,051 and 27,388,122 is: 58,666,215.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,786,051 : 27,388,122 = 27,388,122 : x
  2. Step 2: Convert to fraction form
    12,786,051/27,388,122 = 27,388,122/x
  3. Step 3: Cross multiply
    12,786,051x = 27,388,122 × 27,388,122
  4. Step 4: Simplify right side
    12,786,051x = 750,109,226,686,884
  5. Step 5: Solve for x
    x = 750,109,226,686,884/12,786,051
  6. Step 6: Final answer
    x = 58,666,215.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.