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Finding the Third Proportional to 29,860,288 and 65,505,920

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Solution

The third proportional to 29,860,288 and 65,505,920 is: 143,703,421.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,860,288 : 65,505,920 = 65,505,920 : x
  2. Step 2: Convert to fraction form
    29,860,288/65,505,920 = 65,505,920/x
  3. Step 3: Cross multiply
    29,860,288x = 65,505,920 × 65,505,920
  4. Step 4: Simplify right side
    29,860,288x = 4,291,025,555,046,400
  5. Step 5: Solve for x
    x = 4,291,025,555,046,400/29,860,288
  6. Step 6: Final answer
    x = 143,703,421.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.