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Finding the Third Proportional to 6,009,531 and 14,172,018

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Solution

The third proportional to 6,009,531 and 14,172,018 is: 33,421,259.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009,531 : 14,172,018 = 14,172,018 : x
  2. Step 2: Convert to fraction form
    6,009,531/14,172,018 = 14,172,018/x
  3. Step 3: Cross multiply
    6,009,531x = 14,172,018 × 14,172,018
  4. Step 4: Simplify right side
    6,009,531x = 200,846,094,192,324
  5. Step 5: Solve for x
    x = 200,846,094,192,324/6,009,531
  6. Step 6: Final answer
    x = 33,421,259.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.