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Finding the Third Proportional to 76,491,773 and 163,897,809

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Solution

The third proportional to 76,491,773 and 163,897,809 is: 351,181,450.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,491,773 : 163,897,809 = 163,897,809 : x
  2. Step 2: Convert to fraction form
    76,491,773/163,897,809 = 163,897,809/x
  3. Step 3: Cross multiply
    76,491,773x = 163,897,809 × 163,897,809
  4. Step 4: Simplify right side
    76,491,773x = 26,862,491,795,000,480
  5. Step 5: Solve for x
    x = 26,862,491,795,000,480/76,491,773
  6. Step 6: Final answer
    x = 351,181,450.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.