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Finding the Third Proportional to 24,865,035.75 and 52,306,745.63

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Solution

The third proportional to 24,865,035.75 and 52,306,745.63 is: 110,033,850.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,865,035.75 : 52,306,745.63 = 52,306,745.63 : x
  2. Step 2: Convert to fraction form
    24,865,035.75/52,306,745.63 = 52,306,745.63/x
  3. Step 3: Cross multiply
    24,865,035.75x = 52,306,745.63 × 52,306,745.63
  4. Step 4: Simplify right side
    24,865,035.75x = 2,735,995,637,878,456.50
  5. Step 5: Solve for x
    x = 2,735,995,637,878,456.50/24,865,035.75
  6. Step 6: Final answer
    x = 110,033,850.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.