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Finding the Third Proportional to 14,973,923.81 and 32,217,544.13

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Solution

The third proportional to 14,973,923.81 and 32,217,544.13 is: 69,318,514.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,973,923.81 : 32,217,544.13 = 32,217,544.13 : x
  2. Step 2: Convert to fraction form
    14,973,923.81/32,217,544.13 = 32,217,544.13/x
  3. Step 3: Cross multiply
    14,973,923.81x = 32,217,544.13 × 32,217,544.13
  4. Step 4: Simplify right side
    14,973,923.81x = 1,037,970,149,446,322
  5. Step 5: Solve for x
    x = 1,037,970,149,446,322/14,973,923.81
  6. Step 6: Final answer
    x = 69,318,514.13

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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.