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Finding the Third Proportional to 5,246,653.50 and 11,389,465.69

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Solution

The third proportional to 5,246,653.50 and 11,389,465.69 is: 24,724,317.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246,653.50 : 11,389,465.69 = 11,389,465.69 : x
  2. Step 2: Convert to fraction form
    5,246,653.50/11,389,465.69 = 11,389,465.69/x
  3. Step 3: Cross multiply
    5,246,653.50x = 11,389,465.69 × 11,389,465.69
  4. Step 4: Simplify right side
    5,246,653.50x = 129,719,928,646,739.84
  5. Step 5: Solve for x
    x = 129,719,928,646,739.84/5,246,653.50
  6. Step 6: Final answer
    x = 24,724,317.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.