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Finding the Third Proportional to 5,340,309 and 8,263,885.50

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Solution

The third proportional to 5,340,309 and 8,263,885.50 is: 12,787,987.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,340,309 : 8,263,885.50 = 8,263,885.50 : x
  2. Step 2: Convert to fraction form
    5,340,309/8,263,885.50 = 8,263,885.50/x
  3. Step 3: Cross multiply
    5,340,309x = 8,263,885.50 × 8,263,885.50
  4. Step 4: Simplify right side
    5,340,309x = 68,291,803,557,110.25
  5. Step 5: Solve for x
    x = 68,291,803,557,110.25/5,340,309
  6. Step 6: Final answer
    x = 12,787,987.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.