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Finding the Third Proportional to 298,576,113,309 and 658,011,546,560.24

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Solution

The third proportional to 298,576,113,309 and 658,011,546,560.24 is: 1,450,146,800,452.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,576,113,309 : 658,011,546,560.24 = 658,011,546,560.24 : x
  2. Step 2: Convert to fraction form
    298,576,113,309/658,011,546,560.24 = 658,011,546,560.24/x
  3. Step 3: Cross multiply
    298,576,113,309x = 658,011,546,560.24 × 658,011,546,560.24
  4. Step 4: Simplify right side
    298,576,113,309x = 432,979,195,406,598,906,314,752
  5. Step 5: Solve for x
    x = 432,979,195,406,598,906,314,752/298,576,113,309
  6. Step 6: Final answer
    x = 1,450,146,800,452.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.