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Finding the Third Proportional to 344,314,106 and 737,749,138

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Solution

The third proportional to 344,314,106 and 737,749,138 is: 1,580,747,872.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,314,106 : 737,749,138 = 737,749,138 : x
  2. Step 2: Convert to fraction form
    344,314,106/737,749,138 = 737,749,138/x
  3. Step 3: Cross multiply
    344,314,106x = 737,749,138 × 737,749,138
  4. Step 4: Simplify right side
    344,314,106x = 544,273,790,619,743,040
  5. Step 5: Solve for x
    x = 544,273,790,619,743,040/344,314,106
  6. Step 6: Final answer
    x = 1,580,747,872.76

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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.