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Finding the Third Proportional to 4,652,990 and 10,224,466

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Solution

The third proportional to 4,652,990 and 10,224,466 is: 22,467,210.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652,990 : 10,224,466 = 10,224,466 : x
  2. Step 2: Convert to fraction form
    4,652,990/10,224,466 = 10,224,466/x
  3. Step 3: Cross multiply
    4,652,990x = 10,224,466 × 10,224,466
  4. Step 4: Simplify right side
    4,652,990x = 104,539,704,985,156
  5. Step 5: Solve for x
    x = 104,539,704,985,156/4,652,990
  6. Step 6: Final answer
    x = 22,467,210.33

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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.