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Finding the Third Proportional to 3,565,103.63 and 5,269,031.44

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Solution

The third proportional to 3,565,103.63 and 5,269,031.44 is: 7,787,345.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565,103.63 : 5,269,031.44 = 5,269,031.44 : x
  2. Step 2: Convert to fraction form
    3,565,103.63/5,269,031.44 = 5,269,031.44/x
  3. Step 3: Cross multiply
    3,565,103.63x = 5,269,031.44 × 5,269,031.44
  4. Step 4: Simplify right side
    3,565,103.63x = 27,762,692,289,363.32
  5. Step 5: Solve for x
    x = 27,762,692,289,363.32/3,565,103.63
  6. Step 6: Final answer
    x = 7,787,345.11

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.