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Finding the Third Proportional to 800,477,165,996 and 1,219,471,592,094

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Solution

The third proportional to 800,477,165,996 and 1,219,471,592,094 is: 1,857,780,617,731.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,477,165,996 : 1,219,471,592,094 = 1,219,471,592,094 : x
  2. Step 2: Convert to fraction form
    800,477,165,996/1,219,471,592,094 = 1,219,471,592,094/x
  3. Step 3: Cross multiply
    800,477,165,996x = 1,219,471,592,094 × 1,219,471,592,094
  4. Step 4: Simplify right side
    800,477,165,996x = 1,487,110,963,924,275,233,292,288
  5. Step 5: Solve for x
    x = 1,487,110,963,924,275,233,292,288/800,477,165,996
  6. Step 6: Final answer
    x = 1,857,780,617,731.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.