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Finding the Third Proportional to 7,901,410 and 17,238,655

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Solution

The third proportional to 7,901,410 and 17,238,655 is: 37,609,898.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,901,410 : 17,238,655 = 17,238,655 : x
  2. Step 2: Convert to fraction form
    7,901,410/17,238,655 = 17,238,655/x
  3. Step 3: Cross multiply
    7,901,410x = 17,238,655 × 17,238,655
  4. Step 4: Simplify right side
    7,901,410x = 297,171,226,209,025
  5. Step 5: Solve for x
    x = 297,171,226,209,025/7,901,410
  6. Step 6: Final answer
    x = 37,609,898.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.