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Finding the Third Proportional to 19,813,901.06 and 31,521,846.09

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Solution

The third proportional to 19,813,901.06 and 31,521,846.09 is: 50,147,963.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,813,901.06 : 31,521,846.09 = 31,521,846.09 : x
  2. Step 2: Convert to fraction form
    19,813,901.06/31,521,846.09 = 31,521,846.09/x
  3. Step 3: Cross multiply
    19,813,901.06x = 31,521,846.09 × 31,521,846.09
  4. Step 4: Simplify right side
    19,813,901.06x = 993,626,781,158,062.12
  5. Step 5: Solve for x
    x = 993,626,781,158,062.12/19,813,901.06
  6. Step 6: Final answer
    x = 50,147,963.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.