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Finding the Third Proportional to 298,576,121,430 and 658,011,567,096

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Solution

The third proportional to 298,576,121,430 and 658,011,567,096 is: 1,450,146,851,524.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,576,121,430 : 658,011,567,096 = 658,011,567,096 : x
  2. Step 2: Convert to fraction form
    298,576,121,430/658,011,567,096 = 658,011,567,096/x
  3. Step 3: Cross multiply
    298,576,121,430x = 658,011,567,096 × 658,011,567,096
  4. Step 4: Simplify right side
    298,576,121,430x = 432,979,222,432,133,679,153,152
  5. Step 5: Solve for x
    x = 432,979,222,432,133,679,153,152/298,576,121,430
  6. Step 6: Final answer
    x = 1,450,146,851,524.58

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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.