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Finding the Third Proportional to 45,752,031.56 and 69,700,064.63

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Solution

The third proportional to 45,752,031.56 and 69,700,064.63 is: 106,183,241.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,752,031.56 : 69,700,064.63 = 69,700,064.63 : x
  2. Step 2: Convert to fraction form
    45,752,031.56/69,700,064.63 = 69,700,064.63/x
  3. Step 3: Cross multiply
    45,752,031.56x = 69,700,064.63 × 69,700,064.63
  4. Step 4: Simplify right side
    45,752,031.56x = 4,858,099,008,729,176
  5. Step 5: Solve for x
    x = 4,858,099,008,729,176/45,752,031.56
  6. Step 6: Final answer
    x = 106,183,241.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.