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Finding the Third Proportional to 4,843,046.50 and 10,188,023

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Solution

The third proportional to 4,843,046.50 and 10,188,023 is: 21,431,925.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843,046.50 : 10,188,023 = 10,188,023 : x
  2. Step 2: Convert to fraction form
    4,843,046.50/10,188,023 = 10,188,023/x
  3. Step 3: Cross multiply
    4,843,046.50x = 10,188,023 × 10,188,023
  4. Step 4: Simplify right side
    4,843,046.50x = 103,795,812,648,529
  5. Step 5: Solve for x
    x = 103,795,812,648,529/4,843,046.50
  6. Step 6: Final answer
    x = 21,431,925.68

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.