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Finding the Third Proportional to 10,466,496 and 23,171,328

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Solution

The third proportional to 10,466,496 and 23,171,328 is: 51,298,012.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466,496 : 23,171,328 = 23,171,328 : x
  2. Step 2: Convert to fraction form
    10,466,496/23,171,328 = 23,171,328/x
  3. Step 3: Cross multiply
    10,466,496x = 23,171,328 × 23,171,328
  4. Step 4: Simplify right side
    10,466,496x = 536,910,441,283,584
  5. Step 5: Solve for x
    x = 536,910,441,283,584/10,466,496
  6. Step 6: Final answer
    x = 51,298,012.37

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.