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Finding the Third Proportional to 5,984,960 and 12,751,712

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Solution

The third proportional to 5,984,960 and 12,751,712 is: 27,169,130.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984,960 : 12,751,712 = 12,751,712 : x
  2. Step 2: Convert to fraction form
    5,984,960/12,751,712 = 12,751,712/x
  3. Step 3: Cross multiply
    5,984,960x = 12,751,712 × 12,751,712
  4. Step 4: Simplify right side
    5,984,960x = 162,606,158,930,944
  5. Step 5: Solve for x
    x = 162,606,158,930,944/5,984,960
  6. Step 6: Final answer
    x = 27,169,130.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.