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Finding the Third Proportional to 410,279,270,784 and 891,185,788,416

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Solution

The third proportional to 410,279,270,784 and 891,185,788,416 is: 1,935,784,150,042.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,279,270,784 : 891,185,788,416 = 891,185,788,416 : x
  2. Step 2: Convert to fraction form
    410,279,270,784/891,185,788,416 = 891,185,788,416/x
  3. Step 3: Cross multiply
    410,279,270,784x = 891,185,788,416 × 891,185,788,416
  4. Step 4: Simplify right side
    410,279,270,784x = 794,212,109,474,647,513,235,456
  5. Step 5: Solve for x
    x = 794,212,109,474,647,513,235,456/410,279,270,784
  6. Step 6: Final answer
    x = 1,935,784,150,042.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.