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Finding the Third Proportional to 24,435,762.75 and 48,254,737.50

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Solution

The third proportional to 24,435,762.75 and 48,254,737.50 is: 95,291,467.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,435,762.75 : 48,254,737.50 = 48,254,737.50 : x
  2. Step 2: Convert to fraction form
    24,435,762.75/48,254,737.50 = 48,254,737.50/x
  3. Step 3: Cross multiply
    24,435,762.75x = 48,254,737.50 × 48,254,737.50
  4. Step 4: Simplify right side
    24,435,762.75x = 2,328,519,691,193,906
  5. Step 5: Solve for x
    x = 2,328,519,691,193,906/24,435,762.75
  6. Step 6: Final answer
    x = 95,291,467.47

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.