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Finding the Third Proportional to 2,466,023.25 and 5,403,466.50

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Solution

The third proportional to 2,466,023.25 and 5,403,466.50 is: 11,839,892.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466,023.25 : 5,403,466.50 = 5,403,466.50 : x
  2. Step 2: Convert to fraction form
    2,466,023.25/5,403,466.50 = 5,403,466.50/x
  3. Step 3: Cross multiply
    2,466,023.25x = 5,403,466.50 × 5,403,466.50
  4. Step 4: Simplify right side
    2,466,023.25x = 29,197,450,216,622.25
  5. Step 5: Solve for x
    x = 29,197,450,216,622.25/2,466,023.25
  6. Step 6: Final answer
    x = 11,839,892.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.