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Finding the Third Proportional to 12,543,120 and 27,477,684

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Solution

The third proportional to 12,543,120 and 27,477,684 is: 60,194,203.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,543,120 : 27,477,684 = 27,477,684 : x
  2. Step 2: Convert to fraction form
    12,543,120/27,477,684 = 27,477,684/x
  3. Step 3: Cross multiply
    12,543,120x = 27,477,684 × 27,477,684
  4. Step 4: Simplify right side
    12,543,120x = 755,023,118,003,856
  5. Step 5: Solve for x
    x = 755,023,118,003,856/12,543,120
  6. Step 6: Final answer
    x = 60,194,203.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.