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Finding the Third Proportional to 266,266,078,291 and 570,233,132,244

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Solution

The third proportional to 266,266,078,291 and 570,233,132,244 is: 1,221,206,348,160.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,266,078,291 : 570,233,132,244 = 570,233,132,244 : x
  2. Step 2: Convert to fraction form
    266,266,078,291/570,233,132,244 = 570,233,132,244/x
  3. Step 3: Cross multiply
    266,266,078,291x = 570,233,132,244 × 570,233,132,244
  4. Step 4: Simplify right side
    266,266,078,291x = 325,165,825,108,803,193,929,728
  5. Step 5: Solve for x
    x = 325,165,825,108,803,193,929,728/266,266,078,291
  6. Step 6: Final answer
    x = 1,221,206,348,160.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.