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Finding the Third Proportional to 10,903,200 and 23,715,408

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Solution

The third proportional to 10,903,200 and 23,715,408 is: 51,583,074.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,903,200 : 23,715,408 = 23,715,408 : x
  2. Step 2: Convert to fraction form
    10,903,200/23,715,408 = 23,715,408/x
  3. Step 3: Cross multiply
    10,903,200x = 23,715,408 × 23,715,408
  4. Step 4: Simplify right side
    10,903,200x = 562,420,576,606,464
  5. Step 5: Solve for x
    x = 562,420,576,606,464/10,903,200
  6. Step 6: Final answer
    x = 51,583,074.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.