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Finding the Third Proportional to 214,937,739 and 466,367,757

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Solution

The third proportional to 214,937,739 and 466,367,757 is: 1,011,915,756.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,937,739 : 466,367,757 = 466,367,757 : x
  2. Step 2: Convert to fraction form
    214,937,739/466,367,757 = 466,367,757/x
  3. Step 3: Cross multiply
    214,937,739x = 466,367,757 × 466,367,757
  4. Step 4: Simplify right side
    214,937,739x = 217,498,884,769,211,040
  5. Step 5: Solve for x
    x = 217,498,884,769,211,040/214,937,739
  6. Step 6: Final answer
    x = 1,011,915,756.54

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