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Finding the Third Proportional to 24,466,065 and 34,289,023.50

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Solution

The third proportional to 24,466,065 and 34,289,023.50 is: 48,055,832.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,466,065 : 34,289,023.50 = 34,289,023.50 : x
  2. Step 2: Convert to fraction form
    24,466,065/34,289,023.50 = 34,289,023.50/x
  3. Step 3: Cross multiply
    24,466,065x = 34,289,023.50 × 34,289,023.50
  4. Step 4: Simplify right side
    24,466,065x = 1,175,737,132,583,552.25
  5. Step 5: Solve for x
    x = 1,175,737,132,583,552.25/24,466,065
  6. Step 6: Final answer
    x = 48,055,832.95

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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.