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Finding the Third Proportional to 5,908,728.09 and 12,852,727.31

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Solution

The third proportional to 5,908,728.09 and 12,852,727.31 is: 27,957,387.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,908,728.09 : 12,852,727.31 = 12,852,727.31 : x
  2. Step 2: Convert to fraction form
    5,908,728.09/12,852,727.31 = 12,852,727.31/x
  3. Step 3: Cross multiply
    5,908,728.09x = 12,852,727.31 × 12,852,727.31
  4. Step 4: Simplify right side
    5,908,728.09x = 165,192,599,369,483.47
  5. Step 5: Solve for x
    x = 165,192,599,369,483.47/5,908,728.09
  6. Step 6: Final answer
    x = 27,957,387.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.