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Finding the Third Proportional to 3,778,077 and 8,153,196

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Solution

The third proportional to 3,778,077 and 8,153,196 is: 17,594,825.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778,077 : 8,153,196 = 8,153,196 : x
  2. Step 2: Convert to fraction form
    3,778,077/8,153,196 = 8,153,196/x
  3. Step 3: Cross multiply
    3,778,077x = 8,153,196 × 8,153,196
  4. Step 4: Simplify right side
    3,778,077x = 66,474,605,014,416
  5. Step 5: Solve for x
    x = 66,474,605,014,416/3,778,077
  6. Step 6: Final answer
    x = 17,594,825.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.