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Finding the Third Proportional to 5,849,768 and 13,043,824

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Solution

The third proportional to 5,849,768 and 13,043,824 is: 29,085,143.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849,768 : 13,043,824 = 13,043,824 : x
  2. Step 2: Convert to fraction form
    5,849,768/13,043,824 = 13,043,824/x
  3. Step 3: Cross multiply
    5,849,768x = 13,043,824 × 13,043,824
  4. Step 4: Simplify right side
    5,849,768x = 170,141,344,542,976
  5. Step 5: Solve for x
    x = 170,141,344,542,976/5,849,768
  6. Step 6: Final answer
    x = 29,085,143.98

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.