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Finding the Third Proportional to 258,546,822 and 552,920,268

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Solution

The third proportional to 258,546,822 and 552,920,268 is: 1,182,458,250.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,546,822 : 552,920,268 = 552,920,268 : x
  2. Step 2: Convert to fraction form
    258,546,822/552,920,268 = 552,920,268/x
  3. Step 3: Cross multiply
    258,546,822x = 552,920,268 × 552,920,268
  4. Step 4: Simplify right side
    258,546,822x = 305,720,822,765,191,808
  5. Step 5: Solve for x
    x = 305,720,822,765,191,808/258,546,822
  6. Step 6: Final answer
    x = 1,182,458,250.31

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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.