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Finding the Third Proportional to 5,997,784 and 12,951,264

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Solution

The third proportional to 5,997,784 and 12,951,264 is: 27,966,202.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997,784 : 12,951,264 = 12,951,264 : x
  2. Step 2: Convert to fraction form
    5,997,784/12,951,264 = 12,951,264/x
  3. Step 3: Cross multiply
    5,997,784x = 12,951,264 × 12,951,264
  4. Step 4: Simplify right side
    5,997,784x = 167,735,239,197,696
  5. Step 5: Solve for x
    x = 167,735,239,197,696/5,997,784
  6. Step 6: Final answer
    x = 27,966,202.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.