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Finding the Third Proportional to 344,314,478 and 737,749,876

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Solution

The third proportional to 344,314,478 and 737,749,876 is: 1,580,749,327.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,314,478 : 737,749,876 = 737,749,876 : x
  2. Step 2: Convert to fraction form
    344,314,478/737,749,876 = 737,749,876/x
  3. Step 3: Cross multiply
    344,314,478x = 737,749,876 × 737,749,876
  4. Step 4: Simplify right side
    344,314,478x = 544,274,879,538,015,360
  5. Step 5: Solve for x
    x = 544,274,879,538,015,360/344,314,478
  6. Step 6: Final answer
    x = 1,580,749,327.47

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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.