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Finding the Third Proportional to 11,754,489 and 27,657,597.75

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Solution

The third proportional to 11,754,489 and 27,657,597.75 is: 65,076,645.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754,489 : 27,657,597.75 = 27,657,597.75 : x
  2. Step 2: Convert to fraction form
    11,754,489/27,657,597.75 = 27,657,597.75/x
  3. Step 3: Cross multiply
    11,754,489x = 27,657,597.75 × 27,657,597.75
  4. Step 4: Simplify right side
    11,754,489x = 764,942,713,300,805
  5. Step 5: Solve for x
    x = 764,942,713,300,805/11,754,489
  6. Step 6: Final answer
    x = 65,076,645.47

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.