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Finding the Third Proportional to 24,782,210 and 34,837,186

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Solution

The third proportional to 24,782,210 and 34,837,186 is: 48,971,803.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,782,210 : 34,837,186 = 34,837,186 : x
  2. Step 2: Convert to fraction form
    24,782,210/34,837,186 = 34,837,186/x
  3. Step 3: Cross multiply
    24,782,210x = 34,837,186 × 34,837,186
  4. Step 4: Simplify right side
    24,782,210x = 1,213,629,528,398,596
  5. Step 5: Solve for x
    x = 1,213,629,528,398,596/24,782,210
  6. Step 6: Final answer
    x = 48,971,803.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.