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Finding the Third Proportional to 12,884,133.38 and 27,785,727

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Solution

The third proportional to 12,884,133.38 and 27,785,727 is: 59,922,278.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884,133.38 : 27,785,727 = 27,785,727 : x
  2. Step 2: Convert to fraction form
    12,884,133.38/27,785,727 = 27,785,727/x
  3. Step 3: Cross multiply
    12,884,133.38x = 27,785,727 × 27,785,727
  4. Step 4: Simplify right side
    12,884,133.38x = 772,046,624,918,529
  5. Step 5: Solve for x
    x = 772,046,624,918,529/12,884,133.38
  6. Step 6: Final answer
    x = 59,922,278.24

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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.