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Finding the Third Proportional to 6,846,149 and 14,833,906

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Solution

The third proportional to 6,846,149 and 14,833,906 is: 32,141,393.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846,149 : 14,833,906 = 14,833,906 : x
  2. Step 2: Convert to fraction form
    6,846,149/14,833,906 = 14,833,906/x
  3. Step 3: Cross multiply
    6,846,149x = 14,833,906 × 14,833,906
  4. Step 4: Simplify right side
    6,846,149x = 220,044,767,216,836
  5. Step 5: Solve for x
    x = 220,044,767,216,836/6,846,149
  6. Step 6: Final answer
    x = 32,141,393.24

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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.