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Finding the Third Proportional to 7,666,520.91 and 16,198,477.03

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Solution

The third proportional to 7,666,520.91 and 16,198,477.03 is: 34,225,519.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666,520.91 : 16,198,477.03 = 16,198,477.03 : x
  2. Step 2: Convert to fraction form
    7,666,520.91/16,198,477.03 = 16,198,477.03/x
  3. Step 3: Cross multiply
    7,666,520.91x = 16,198,477.03 × 16,198,477.03
  4. Step 4: Simplify right side
    7,666,520.91x = 262,390,658,131,933.81
  5. Step 5: Solve for x
    x = 262,390,658,131,933.81/7,666,520.91
  6. Step 6: Final answer
    x = 34,225,519.16

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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.