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Finding the Third Proportional to 66,113,016 and 143,548,536

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Solution

The third proportional to 66,113,016 and 143,548,536 is: 311,681,170.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,113,016 : 143,548,536 = 143,548,536 : x
  2. Step 2: Convert to fraction form
    66,113,016/143,548,536 = 143,548,536/x
  3. Step 3: Cross multiply
    66,113,016x = 143,548,536 × 143,548,536
  4. Step 4: Simplify right side
    66,113,016x = 20,606,182,187,743,296
  5. Step 5: Solve for x
    x = 20,606,182,187,743,296/66,113,016
  6. Step 6: Final answer
    x = 311,681,170.13

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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.