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Finding the Third Proportional to 2,617,472.81 and 5,655,209.06

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Solution

The third proportional to 2,617,472.81 and 5,655,209.06 is: 12,218,422.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617,472.81 : 5,655,209.06 = 5,655,209.06 : x
  2. Step 2: Convert to fraction form
    2,617,472.81/5,655,209.06 = 5,655,209.06/x
  3. Step 3: Cross multiply
    2,617,472.81x = 5,655,209.06 × 5,655,209.06
  4. Step 4: Simplify right side
    2,617,472.81x = 31,981,389,540,582.13
  5. Step 5: Solve for x
    x = 31,981,389,540,582.13/2,617,472.81
  6. Step 6: Final answer
    x = 12,218,422.82

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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.