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Finding the Third Proportional to 258,686,181,706 and 566,138,618,382

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Solution

The third proportional to 258,686,181,706 and 566,138,618,382 is: 1,239,002,922,806.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,686,181,706 : 566,138,618,382 = 566,138,618,382 : x
  2. Step 2: Convert to fraction form
    258,686,181,706/566,138,618,382 = 566,138,618,382/x
  3. Step 3: Cross multiply
    258,686,181,706x = 566,138,618,382 × 566,138,618,382
  4. Step 4: Simplify right side
    258,686,181,706x = 320,512,935,223,479,815,372,800
  5. Step 5: Solve for x
    x = 320,512,935,223,479,815,372,800/258,686,181,706
  6. Step 6: Final answer
    x = 1,239,002,922,806.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.