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Finding the Third Proportional to 23,035,296 and 53,328,144

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Solution

The third proportional to 23,035,296 and 53,328,144 is: 123,457,972.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,035,296 : 53,328,144 = 53,328,144 : x
  2. Step 2: Convert to fraction form
    23,035,296/53,328,144 = 53,328,144/x
  3. Step 3: Cross multiply
    23,035,296x = 53,328,144 × 53,328,144
  4. Step 4: Simplify right side
    23,035,296x = 2,843,890,942,484,736
  5. Step 5: Solve for x
    x = 2,843,890,942,484,736/23,035,296
  6. Step 6: Final answer
    x = 123,457,972.60

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.