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Finding the Third Proportional to 644,178,354,450 and 1,401,455,200,452

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Solution

The third proportional to 644,178,354,450 and 1,401,455,200,452 is: 3,048,964,103,351.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,178,354,450 : 1,401,455,200,452 = 1,401,455,200,452 : x
  2. Step 2: Convert to fraction form
    644,178,354,450/1,401,455,200,452 = 1,401,455,200,452/x
  3. Step 3: Cross multiply
    644,178,354,450x = 1,401,455,200,452 × 1,401,455,200,452
  4. Step 4: Simplify right side
    644,178,354,450x = 1,964,076,678,873,955,600,171,008
  5. Step 5: Solve for x
    x = 1,964,076,678,873,955,600,171,008/644,178,354,450
  6. Step 6: Final answer
    x = 3,048,964,103,351.29

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.