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Finding the Third Proportional to 214,937,819 and 466,367,917

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Solution

The third proportional to 214,937,819 and 466,367,917 is: 1,011,916,074.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,937,819 : 466,367,917 = 466,367,917 : x
  2. Step 2: Convert to fraction form
    214,937,819/466,367,917 = 466,367,917/x
  3. Step 3: Cross multiply
    214,937,819x = 466,367,917 × 466,367,917
  4. Step 4: Simplify right side
    214,937,819x = 217,499,034,006,918,880
  5. Step 5: Solve for x
    x = 217,499,034,006,918,880/214,937,819
  6. Step 6: Final answer
    x = 1,011,916,074.23

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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.