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Finding the Third Proportional to 5,908,259.25 and 12,824,867.25

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Solution

The third proportional to 5,908,259.25 and 12,824,867.25 is: 27,838,524.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,908,259.25 : 12,824,867.25 = 12,824,867.25 : x
  2. Step 2: Convert to fraction form
    5,908,259.25/12,824,867.25 = 12,824,867.25/x
  3. Step 3: Cross multiply
    5,908,259.25x = 12,824,867.25 × 12,824,867.25
  4. Step 4: Simplify right side
    5,908,259.25x = 164,477,219,980,122.56
  5. Step 5: Solve for x
    x = 164,477,219,980,122.56/5,908,259.25
  6. Step 6: Final answer
    x = 27,838,524.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.