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Finding the Third Proportional to 8,166,468.09 and 12,535,208.16

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Solution

The third proportional to 8,166,468.09 and 12,535,208.16 is: 19,241,052.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166,468.09 : 12,535,208.16 = 12,535,208.16 : x
  2. Step 2: Convert to fraction form
    8,166,468.09/12,535,208.16 = 12,535,208.16/x
  3. Step 3: Cross multiply
    8,166,468.09x = 12,535,208.16 × 12,535,208.16
  4. Step 4: Simplify right side
    8,166,468.09x = 157,131,443,520,516.53
  5. Step 5: Solve for x
    x = 157,131,443,520,516.53/8,166,468.09
  6. Step 6: Final answer
    x = 19,241,052.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.