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Finding the Third Proportional to 151,827,474,576 and 316,221,619,548

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Solution

The third proportional to 151,827,474,576 and 316,221,619,548 is: 658,616,715,774.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,827,474,576 : 316,221,619,548 = 316,221,619,548 : x
  2. Step 2: Convert to fraction form
    151,827,474,576/316,221,619,548 = 316,221,619,548/x
  3. Step 3: Cross multiply
    151,827,474,576x = 316,221,619,548 × 316,221,619,548
  4. Step 4: Simplify right side
    151,827,474,576x = 99,996,112,669,560,054,743,040
  5. Step 5: Solve for x
    x = 99,996,112,669,560,054,743,040/151,827,474,576
  6. Step 6: Final answer
    x = 658,616,715,774.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.