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Finding the Third Proportional to 324,067,014 and 463,084,263

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Solution

The third proportional to 324,067,014 and 463,084,263 is: 661,736,694.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,067,014 : 463,084,263 = 463,084,263 : x
  2. Step 2: Convert to fraction form
    324,067,014/463,084,263 = 463,084,263/x
  3. Step 3: Cross multiply
    324,067,014x = 463,084,263 × 463,084,263
  4. Step 4: Simplify right side
    324,067,014x = 214,447,034,638,253,184
  5. Step 5: Solve for x
    x = 214,447,034,638,253,184/324,067,014
  6. Step 6: Final answer
    x = 661,736,694.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.