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Finding the Third Proportional to 9,717,978 and 22,497,714

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Solution

The third proportional to 9,717,978 and 22,497,714 is: 52,083,585.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717,978 : 22,497,714 = 22,497,714 : x
  2. Step 2: Convert to fraction form
    9,717,978/22,497,714 = 22,497,714/x
  3. Step 3: Cross multiply
    9,717,978x = 22,497,714 × 22,497,714
  4. Step 4: Simplify right side
    9,717,978x = 506,147,135,225,796
  5. Step 5: Solve for x
    x = 506,147,135,225,796/9,717,978
  6. Step 6: Final answer
    x = 52,083,585.21

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.