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Finding the Third Proportional to 1,270,379,026 and 2,751,805,784

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Solution

The third proportional to 1,270,379,026 and 2,751,805,784 is: 5,960,768,335.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270,379,026 : 2,751,805,784 = 2,751,805,784 : x
  2. Step 2: Convert to fraction form
    1,270,379,026/2,751,805,784 = 2,751,805,784/x
  3. Step 3: Cross multiply
    1,270,379,026x = 2,751,805,784 × 2,751,805,784
  4. Step 4: Simplify right side
    1,270,379,026x = 7,572,435,072,855,855,104
  5. Step 5: Solve for x
    x = 7,572,435,072,855,855,104/1,270,379,026
  6. Step 6: Final answer
    x = 5,960,768,335.97

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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.