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Finding the Third Proportional to 6,441,049.13 and 13,890,927.94

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Solution

The third proportional to 6,441,049.13 and 13,890,927.94 is: 29,957,523.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441,049.13 : 13,890,927.94 = 13,890,927.94 : x
  2. Step 2: Convert to fraction form
    6,441,049.13/13,890,927.94 = 13,890,927.94/x
  3. Step 3: Cross multiply
    6,441,049.13x = 13,890,927.94 × 13,890,927.94
  4. Step 4: Simplify right side
    6,441,049.13x = 192,957,878,964,818
  5. Step 5: Solve for x
    x = 192,957,878,964,818/6,441,049.13
  6. Step 6: Final answer
    x = 29,957,523.26

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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.