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Finding the Third Proportional to 24,434,816 and 35,904,264

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Solution

The third proportional to 24,434,816 and 35,904,264 is: 52,757,351.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,434,816 : 35,904,264 = 35,904,264 : x
  2. Step 2: Convert to fraction form
    24,434,816/35,904,264 = 35,904,264/x
  3. Step 3: Cross multiply
    24,434,816x = 35,904,264 × 35,904,264
  4. Step 4: Simplify right side
    24,434,816x = 1,289,116,173,381,696
  5. Step 5: Solve for x
    x = 1,289,116,173,381,696/24,434,816
  6. Step 6: Final answer
    x = 52,757,351.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.