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Finding the Third Proportional to 5,449,497.75 and 12,845,992.50

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Solution

The third proportional to 5,449,497.75 and 12,845,992.50 is: 30,281,602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449,497.75 : 12,845,992.50 = 12,845,992.50 : x
  2. Step 2: Convert to fraction form
    5,449,497.75/12,845,992.50 = 12,845,992.50/x
  3. Step 3: Cross multiply
    5,449,497.75x = 12,845,992.50 × 12,845,992.50
  4. Step 4: Simplify right side
    5,449,497.75x = 165,019,523,310,056.25
  5. Step 5: Solve for x
    x = 165,019,523,310,056.25/5,449,497.75
  6. Step 6: Final answer
    x = 30,281,602.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.