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Finding the Third Proportional to 924,887,196 and 2,182,568,274

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Solution

The third proportional to 924,887,196 and 2,182,568,274 is: 5,150,470,556.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,887,196 : 2,182,568,274 = 2,182,568,274 : x
  2. Step 2: Convert to fraction form
    924,887,196/2,182,568,274 = 2,182,568,274/x
  3. Step 3: Cross multiply
    924,887,196x = 2,182,568,274 × 2,182,568,274
  4. Step 4: Simplify right side
    924,887,196x = 4,763,604,270,671,339,520
  5. Step 5: Solve for x
    x = 4,763,604,270,671,339,520/924,887,196
  6. Step 6: Final answer
    x = 5,150,470,556.06

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.