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Finding the Third Proportional to 344,314,104 and 737,749,136

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Solution

The third proportional to 344,314,104 and 737,749,136 is: 1,580,747,873.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,314,104 : 737,749,136 = 737,749,136 : x
  2. Step 2: Convert to fraction form
    344,314,104/737,749,136 = 737,749,136/x
  3. Step 3: Cross multiply
    344,314,104x = 737,749,136 × 737,749,136
  4. Step 4: Simplify right side
    344,314,104x = 544,273,787,668,746,496
  5. Step 5: Solve for x
    x = 544,273,787,668,746,496/344,314,104
  6. Step 6: Final answer
    x = 1,580,747,873.37

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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.