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Finding the Third Proportional to 918,793,233 and 1,412,251,011

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Solution

The third proportional to 918,793,233 and 1,412,251,011 is: 2,170,730,961.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,793,233 : 1,412,251,011 = 1,412,251,011 : x
  2. Step 2: Convert to fraction form
    918,793,233/1,412,251,011 = 1,412,251,011/x
  3. Step 3: Cross multiply
    918,793,233x = 1,412,251,011 × 1,412,251,011
  4. Step 4: Simplify right side
    918,793,233x = 1,994,452,918,070,522,112
  5. Step 5: Solve for x
    x = 1,994,452,918,070,522,112/918,793,233
  6. Step 6: Final answer
    x = 2,170,730,961.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.