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Finding the Third Proportional to 5,908,734 and 12,852,739.13

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Solution

The third proportional to 5,908,734 and 12,852,739.13 is: 27,957,410.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,908,734 : 12,852,739.13 = 12,852,739.13 : x
  2. Step 2: Convert to fraction form
    5,908,734/12,852,739.13 = 12,852,739.13/x
  3. Step 3: Cross multiply
    5,908,734x = 12,852,739.13 × 12,852,739.13
  4. Step 4: Simplify right side
    5,908,734x = 165,192,903,015,305.75
  5. Step 5: Solve for x
    x = 165,192,903,015,305.75/5,908,734
  6. Step 6: Final answer
    x = 27,957,410.68

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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.