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Finding the Third Proportional to 77,284,927 and 166,676,401

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Solution

The third proportional to 77,284,927 and 166,676,401 is: 359,462,365.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,284,927 : 166,676,401 = 166,676,401 : x
  2. Step 2: Convert to fraction form
    77,284,927/166,676,401 = 166,676,401/x
  3. Step 3: Cross multiply
    77,284,927x = 166,676,401 × 166,676,401
  4. Step 4: Simplify right side
    77,284,927x = 27,781,022,650,312,800
  5. Step 5: Solve for x
    x = 27,781,022,650,312,800/77,284,927
  6. Step 6: Final answer
    x = 359,462,365.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.