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Finding the Third Proportional to 748,602,396 and 1,669,332,383

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Solution

The third proportional to 748,602,396 and 1,669,332,383 is: 3,722,497,576.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,602,396 : 1,669,332,383 = 1,669,332,383 : x
  2. Step 2: Convert to fraction form
    748,602,396/1,669,332,383 = 1,669,332,383/x
  3. Step 3: Cross multiply
    748,602,396x = 1,669,332,383 × 1,669,332,383
  4. Step 4: Simplify right side
    748,602,396x = 2,786,670,604,932,458,496
  5. Step 5: Solve for x
    x = 2,786,670,604,932,458,496/748,602,396
  6. Step 6: Final answer
    x = 3,722,497,576.58

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.