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Finding the Third Proportional to 5,786,022 and 7,880,833.50

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Solution

The third proportional to 5,786,022 and 7,880,833.50 is: 10,734,065.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786,022 : 7,880,833.50 = 7,880,833.50 : x
  2. Step 2: Convert to fraction form
    5,786,022/7,880,833.50 = 7,880,833.50/x
  3. Step 3: Cross multiply
    5,786,022x = 7,880,833.50 × 7,880,833.50
  4. Step 4: Simplify right side
    5,786,022x = 62,107,536,654,722.25
  5. Step 5: Solve for x
    x = 62,107,536,654,722.25/5,786,022
  6. Step 6: Final answer
    x = 10,734,065.07

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.