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Finding the Third Proportional to 214,629,734 and 465,554,812

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Solution

The third proportional to 214,629,734 and 465,554,812 is: 1,009,838,100.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,629,734 : 465,554,812 = 465,554,812 : x
  2. Step 2: Convert to fraction form
    214,629,734/465,554,812 = 465,554,812/x
  3. Step 3: Cross multiply
    214,629,734x = 465,554,812 × 465,554,812
  4. Step 4: Simplify right side
    214,629,734x = 216,741,282,976,355,328
  5. Step 5: Solve for x
    x = 216,741,282,976,355,328/214,629,734
  6. Step 6: Final answer
    x = 1,009,838,100.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.