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Finding the Third Proportional to 6,198,714.84 and 14,475,051.84

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Solution

The third proportional to 6,198,714.84 and 14,475,051.84 is: 33,801,704.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198,714.84 : 14,475,051.84 = 14,475,051.84 : x
  2. Step 2: Convert to fraction form
    6,198,714.84/14,475,051.84 = 14,475,051.84/x
  3. Step 3: Cross multiply
    6,198,714.84x = 14,475,051.84 × 14,475,051.84
  4. Step 4: Simplify right side
    6,198,714.84x = 209,527,125,879,250.28
  5. Step 5: Solve for x
    x = 209,527,125,879,250.28/6,198,714.84
  6. Step 6: Final answer
    x = 33,801,704.25

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.