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Finding the Third Proportional to 4,652,982 and 10,224,453

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Solution

The third proportional to 4,652,982 and 10,224,453 is: 22,467,191.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652,982 : 10,224,453 = 10,224,453 : x
  2. Step 2: Convert to fraction form
    4,652,982/10,224,453 = 10,224,453/x
  3. Step 3: Cross multiply
    4,652,982x = 10,224,453 × 10,224,453
  4. Step 4: Simplify right side
    4,652,982x = 104,539,439,149,209
  5. Step 5: Solve for x
    x = 104,539,439,149,209/4,652,982
  6. Step 6: Final answer
    x = 22,467,191.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.