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Finding the Third Proportional to 6,442,840.13 and 13,894,410.38

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Solution

The third proportional to 6,442,840.13 and 13,894,410.38 is: 29,964,213.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442,840.13 : 13,894,410.38 = 13,894,410.38 : x
  2. Step 2: Convert to fraction form
    6,442,840.13/13,894,410.38 = 13,894,410.38/x
  3. Step 3: Cross multiply
    6,442,840.13x = 13,894,410.38 × 13,894,410.38
  4. Step 4: Simplify right side
    6,442,840.13x = 193,054,639,668,907.62
  5. Step 5: Solve for x
    x = 193,054,639,668,907.62/6,442,840.13
  6. Step 6: Final answer
    x = 29,964,213.91

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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.