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Finding the Third Proportional to 7,970,412 and 16,507,960

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Solution

The third proportional to 7,970,412 and 16,507,960 is: 34,190,546.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970,412 : 16,507,960 = 16,507,960 : x
  2. Step 2: Convert to fraction form
    7,970,412/16,507,960 = 16,507,960/x
  3. Step 3: Cross multiply
    7,970,412x = 16,507,960 × 16,507,960
  4. Step 4: Simplify right side
    7,970,412x = 272,512,743,361,600
  5. Step 5: Solve for x
    x = 272,512,743,361,600/7,970,412
  6. Step 6: Final answer
    x = 34,190,546.66

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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.