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Finding the Third Proportional to 5,494,743 and 8,077,468.50

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Solution

The third proportional to 5,494,743 and 8,077,468.50 is: 11,874,167.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494,743 : 8,077,468.50 = 8,077,468.50 : x
  2. Step 2: Convert to fraction form
    5,494,743/8,077,468.50 = 8,077,468.50/x
  3. Step 3: Cross multiply
    5,494,743x = 8,077,468.50 × 8,077,468.50
  4. Step 4: Simplify right side
    5,494,743x = 65,245,497,368,492.25
  5. Step 5: Solve for x
    x = 65,245,497,368,492.25/5,494,743
  6. Step 6: Final answer
    x = 11,874,167.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.