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Finding the Third Proportional to 17,637,285 and 37,977,445

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Solution

The third proportional to 17,637,285 and 37,977,445 is: 81,774,849.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,637,285 : 37,977,445 = 37,977,445 : x
  2. Step 2: Convert to fraction form
    17,637,285/37,977,445 = 37,977,445/x
  3. Step 3: Cross multiply
    17,637,285x = 37,977,445 × 37,977,445
  4. Step 4: Simplify right side
    17,637,285x = 1,442,286,328,728,025
  5. Step 5: Solve for x
    x = 1,442,286,328,728,025/17,637,285
  6. Step 6: Final answer
    x = 81,774,849.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.