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Finding the Third Proportional to 7,704,406.13 and 11,535,544.13

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Solution

The third proportional to 7,704,406.13 and 11,535,544.13 is: 17,271,776.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704,406.13 : 11,535,544.13 = 11,535,544.13 : x
  2. Step 2: Convert to fraction form
    7,704,406.13/11,535,544.13 = 11,535,544.13/x
  3. Step 3: Cross multiply
    7,704,406.13x = 11,535,544.13 × 11,535,544.13
  4. Step 4: Simplify right side
    7,704,406.13x = 133,068,778,259,822.02
  5. Step 5: Solve for x
    x = 133,068,778,259,822.02/7,704,406.13
  6. Step 6: Final answer
    x = 17,271,776.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.