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Finding the Third Proportional to 6,942,007.86 and 14,950,810.41

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Solution

The third proportional to 6,942,007.86 and 14,950,810.41 is: 32,199,147.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942,007.86 : 14,950,810.41 = 14,950,810.41 : x
  2. Step 2: Convert to fraction form
    6,942,007.86/14,950,810.41 = 14,950,810.41/x
  3. Step 3: Cross multiply
    6,942,007.86x = 14,950,810.41 × 14,950,810.41
  4. Step 4: Simplify right side
    6,942,007.86x = 223,526,731,803,633.28
  5. Step 5: Solve for x
    x = 223,526,731,803,633.28/6,942,007.86
  6. Step 6: Final answer
    x = 32,199,147.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.