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Finding the Third Proportional to 7,487,514.75 and 10,950,472.13

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Solution

The third proportional to 7,487,514.75 and 10,950,472.13 is: 16,015,038.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,487,514.75 : 10,950,472.13 = 10,950,472.13 : x
  2. Step 2: Convert to fraction form
    7,487,514.75/10,950,472.13 = 10,950,472.13/x
  3. Step 3: Cross multiply
    7,487,514.75x = 10,950,472.13 × 10,950,472.13
  4. Step 4: Simplify right side
    7,487,514.75x = 119,912,839,760,402.02
  5. Step 5: Solve for x
    x = 119,912,839,760,402.02/7,487,514.75
  6. Step 6: Final answer
    x = 16,015,038.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.