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Finding the Third Proportional to 24,466,064 and 34,289,022

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Solution

The third proportional to 24,466,064 and 34,289,022 is: 48,055,830.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,466,064 : 34,289,022 = 34,289,022 : x
  2. Step 2: Convert to fraction form
    24,466,064/34,289,022 = 34,289,022/x
  3. Step 3: Cross multiply
    24,466,064x = 34,289,022 × 34,289,022
  4. Step 4: Simplify right side
    24,466,064x = 1,175,737,029,716,484
  5. Step 5: Solve for x
    x = 1,175,737,029,716,484/24,466,064
  6. Step 6: Final answer
    x = 48,055,830.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.