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Finding the Third Proportional to 11,933,430 and 25,768,419

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Solution

The third proportional to 11,933,430 and 25,768,419 is: 55,642,964.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,933,430 : 25,768,419 = 25,768,419 : x
  2. Step 2: Convert to fraction form
    11,933,430/25,768,419 = 25,768,419/x
  3. Step 3: Cross multiply
    11,933,430x = 25,768,419 × 25,768,419
  4. Step 4: Simplify right side
    11,933,430x = 664,011,417,759,561
  5. Step 5: Solve for x
    x = 664,011,417,759,561/11,933,430
  6. Step 6: Final answer
    x = 55,642,964.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.