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Finding the Third Proportional to 7,970,132 and 16,507,381

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Solution

The third proportional to 7,970,132 and 16,507,381 is: 34,189,349.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970,132 : 16,507,381 = 16,507,381 : x
  2. Step 2: Convert to fraction form
    7,970,132/16,507,381 = 16,507,381/x
  3. Step 3: Cross multiply
    7,970,132x = 16,507,381 × 16,507,381
  4. Step 4: Simplify right side
    7,970,132x = 272,493,627,479,161
  5. Step 5: Solve for x
    x = 272,493,627,479,161/7,970,132
  6. Step 6: Final answer
    x = 34,189,349.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.