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Finding the Third Proportional to 17,738,944 and 24,714,816

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Solution

The third proportional to 17,738,944 and 24,714,816 is: 34,433,962.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,738,944 : 24,714,816 = 24,714,816 : x
  2. Step 2: Convert to fraction form
    17,738,944/24,714,816 = 24,714,816/x
  3. Step 3: Cross multiply
    17,738,944x = 24,714,816 × 24,714,816
  4. Step 4: Simplify right side
    17,738,944x = 610,822,129,913,856
  5. Step 5: Solve for x
    x = 610,822,129,913,856/17,738,944
  6. Step 6: Final answer
    x = 34,433,962.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.