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Finding the Third Proportional to 258,686,181,708 and 566,138,618,386

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Solution

The third proportional to 258,686,181,708 and 566,138,618,386 is: 1,239,002,922,814.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,686,181,708 : 566,138,618,386 = 566,138,618,386 : x
  2. Step 2: Convert to fraction form
    258,686,181,708/566,138,618,386 = 566,138,618,386/x
  3. Step 3: Cross multiply
    258,686,181,708x = 566,138,618,386 × 566,138,618,386
  4. Step 4: Simplify right side
    258,686,181,708x = 320,512,935,228,008,925,495,296
  5. Step 5: Solve for x
    x = 320,512,935,228,008,925,495,296/258,686,181,708
  6. Step 6: Final answer
    x = 1,239,002,922,814.79

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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.