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Finding the Third Proportional to 6,168,098.11 and 13,365,863.16

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Solution

The third proportional to 6,168,098.11 and 13,365,863.16 is: 28,962,946.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,168,098.11 : 13,365,863.16 = 13,365,863.16 : x
  2. Step 2: Convert to fraction form
    6,168,098.11/13,365,863.16 = 13,365,863.16/x
  3. Step 3: Cross multiply
    6,168,098.11x = 13,365,863.16 × 13,365,863.16
  4. Step 4: Simplify right side
    6,168,098.11x = 178,646,297,911,601.22
  5. Step 5: Solve for x
    x = 178,646,297,911,601.22/6,168,098.11
  6. Step 6: Final answer
    x = 28,962,946.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.