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Finding the Third Proportional to 151,827,462,608 and 316,221,591,456

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Solution

The third proportional to 151,827,462,608 and 316,221,591,456 is: 658,616,650,672.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,827,462,608 : 316,221,591,456 = 316,221,591,456 : x
  2. Step 2: Convert to fraction form
    151,827,462,608/316,221,591,456 = 316,221,591,456/x
  3. Step 3: Cross multiply
    151,827,462,608x = 316,221,591,456 × 316,221,591,456
  4. Step 4: Simplify right side
    151,827,462,608x = 99,996,094,902,965,370,880,000
  5. Step 5: Solve for x
    x = 99,996,094,902,965,370,880,000/151,827,462,608
  6. Step 6: Final answer
    x = 658,616,650,672.37

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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.