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Finding the Third Proportional to 314,194,711 and 660,949,478

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Solution

The third proportional to 314,194,711 and 660,949,478 is: 1,390,393,272.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,194,711 : 660,949,478 = 660,949,478 : x
  2. Step 2: Convert to fraction form
    314,194,711/660,949,478 = 660,949,478/x
  3. Step 3: Cross multiply
    314,194,711x = 660,949,478 × 660,949,478
  4. Step 4: Simplify right side
    314,194,711x = 436,854,212,468,472,512
  5. Step 5: Solve for x
    x = 436,854,212,468,472,512/314,194,711
  6. Step 6: Final answer
    x = 1,390,393,272.62

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.