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Finding the Third Proportional to 66,468,045 and 106,795,648

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Solution

The third proportional to 66,468,045 and 106,795,648 is: 171,590,881.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,468,045 : 106,795,648 = 106,795,648 : x
  2. Step 2: Convert to fraction form
    66,468,045/106,795,648 = 106,795,648/x
  3. Step 3: Cross multiply
    66,468,045x = 106,795,648 × 106,795,648
  4. Step 4: Simplify right side
    66,468,045x = 11,405,310,431,739,904
  5. Step 5: Solve for x
    x = 11,405,310,431,739,904/66,468,045
  6. Step 6: Final answer
    x = 171,590,881.48

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.