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Finding the Third Proportional to 573,939,800,906 and 1,233,054,115,822

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Solution

The third proportional to 573,939,800,906 and 1,233,054,115,822 is: 2,649,097,431,726.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,939,800,906 : 1,233,054,115,822 = 1,233,054,115,822 : x
  2. Step 2: Convert to fraction form
    573,939,800,906/1,233,054,115,822 = 1,233,054,115,822/x
  3. Step 3: Cross multiply
    573,939,800,906x = 1,233,054,115,822 × 1,233,054,115,822
  4. Step 4: Simplify right side
    573,939,800,906x = 1,520,422,452,545,574,070,648,832
  5. Step 5: Solve for x
    x = 1,520,422,452,545,574,070,648,832/573,939,800,906
  6. Step 6: Final answer
    x = 2,649,097,431,726.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.