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Finding the Third Proportional to 214,937,814 and 466,367,907

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Solution

The third proportional to 214,937,814 and 466,367,907 is: 1,011,916,054.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,937,814 : 466,367,907 = 466,367,907 : x
  2. Step 2: Convert to fraction form
    214,937,814/466,367,907 = 466,367,907/x
  3. Step 3: Cross multiply
    214,937,814x = 466,367,907 × 466,367,907
  4. Step 4: Simplify right side
    214,937,814x = 217,499,024,679,560,640
  5. Step 5: Solve for x
    x = 217,499,024,679,560,640/214,937,814
  6. Step 6: Final answer
    x = 1,011,916,054.38

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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.