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Finding the Third Proportional to 644,644,269 and 1,381,194,480

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Solution

The third proportional to 644,644,269 and 1,381,194,480 is: 2,959,303,732.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,644,269 : 1,381,194,480 = 1,381,194,480 : x
  2. Step 2: Convert to fraction form
    644,644,269/1,381,194,480 = 1,381,194,480/x
  3. Step 3: Cross multiply
    644,644,269x = 1,381,194,480 × 1,381,194,480
  4. Step 4: Simplify right side
    644,644,269x = 1,907,698,191,582,470,400
  5. Step 5: Solve for x
    x = 1,907,698,191,582,470,400/644,644,269
  6. Step 6: Final answer
    x = 2,959,303,732.80

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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.