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Finding the Third Proportional to 7,477,642 and 16,231,474

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Solution

The third proportional to 7,477,642 and 16,231,474 is: 35,233,132.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477,642 : 16,231,474 = 16,231,474 : x
  2. Step 2: Convert to fraction form
    7,477,642/16,231,474 = 16,231,474/x
  3. Step 3: Cross multiply
    7,477,642x = 16,231,474 × 16,231,474
  4. Step 4: Simplify right side
    7,477,642x = 263,460,748,212,676
  5. Step 5: Solve for x
    x = 263,460,748,212,676/7,477,642
  6. Step 6: Final answer
    x = 35,233,132.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.