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Finding the Third Proportional to 298,576,121,436 and 658,011,567,108

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Solution

The third proportional to 298,576,121,436 and 658,011,567,108 is: 1,450,146,851,548.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,576,121,436 : 658,011,567,108 = 658,011,567,108 : x
  2. Step 2: Convert to fraction form
    298,576,121,436/658,011,567,108 = 658,011,567,108/x
  3. Step 3: Cross multiply
    298,576,121,436x = 658,011,567,108 × 658,011,567,108
  4. Step 4: Simplify right side
    298,576,121,436x = 432,979,222,447,926,005,465,088
  5. Step 5: Solve for x
    x = 432,979,222,447,926,005,465,088/298,576,121,436
  6. Step 6: Final answer
    x = 1,450,146,851,548.33

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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.