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Finding the Third Proportional to 214,571,504 and 463,445,544

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Solution

The third proportional to 214,571,504 and 463,445,544 is: 1,000,979,944.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,571,504 : 463,445,544 = 463,445,544 : x
  2. Step 2: Convert to fraction form
    214,571,504/463,445,544 = 463,445,544/x
  3. Step 3: Cross multiply
    214,571,504x = 463,445,544 × 463,445,544
  4. Step 4: Simplify right side
    214,571,504x = 214,781,772,253,455,936
  5. Step 5: Solve for x
    x = 214,781,772,253,455,936/214,571,504
  6. Step 6: Final answer
    x = 1,000,979,944.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.