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Finding the Third Proportional to 2,422,012.50 and 5,709,363.75

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Solution

The third proportional to 2,422,012.50 and 5,709,363.75 is: 13,458,573.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422,012.50 : 5,709,363.75 = 5,709,363.75 : x
  2. Step 2: Convert to fraction form
    2,422,012.50/5,709,363.75 = 5,709,363.75/x
  3. Step 3: Cross multiply
    2,422,012.50x = 5,709,363.75 × 5,709,363.75
  4. Step 4: Simplify right side
    2,422,012.50x = 32,596,834,429,814.06
  5. Step 5: Solve for x
    x = 32,596,834,429,814.06/2,422,012.50
  6. Step 6: Final answer
    x = 13,458,573.99

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.