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Finding the Third Proportional to 2,755,712.81 and 5,984,637.75

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Solution

The third proportional to 2,755,712.81 and 5,984,637.75 is: 12,996,959.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755,712.81 : 5,984,637.75 = 5,984,637.75 : x
  2. Step 2: Convert to fraction form
    2,755,712.81/5,984,637.75 = 5,984,637.75/x
  3. Step 3: Cross multiply
    2,755,712.81x = 5,984,637.75 × 5,984,637.75
  4. Step 4: Simplify right side
    2,755,712.81x = 35,815,888,998,725.06
  5. Step 5: Solve for x
    x = 35,815,888,998,725.06/2,755,712.81
  6. Step 6: Final answer
    x = 12,996,959.93

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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.