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Finding the Third Proportional to 4,029,983.25 and 8,514,832.50

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Solution

The third proportional to 4,029,983.25 and 8,514,832.50 is: 17,990,737.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,029,983.25 : 8,514,832.50 = 8,514,832.50 : x
  2. Step 2: Convert to fraction form
    4,029,983.25/8,514,832.50 = 8,514,832.50/x
  3. Step 3: Cross multiply
    4,029,983.25x = 8,514,832.50 × 8,514,832.50
  4. Step 4: Simplify right side
    4,029,983.25x = 72,502,372,503,056.25
  5. Step 5: Solve for x
    x = 72,502,372,503,056.25/4,029,983.25
  6. Step 6: Final answer
    x = 17,990,737.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.