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Finding the Third Proportional to 31,003,822 and 72,416,024

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Solution

The third proportional to 31,003,822 and 72,416,024 is: 169,143,034.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,003,822 : 72,416,024 = 72,416,024 : x
  2. Step 2: Convert to fraction form
    31,003,822/72,416,024 = 72,416,024/x
  3. Step 3: Cross multiply
    31,003,822x = 72,416,024 × 72,416,024
  4. Step 4: Simplify right side
    31,003,822x = 5,244,080,531,968,576
  5. Step 5: Solve for x
    x = 5,244,080,531,968,576/31,003,822
  6. Step 6: Final answer
    x = 169,143,034.43

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.