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Finding the Third Proportional to 592,753,044,078 and 799,763,021,001

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Solution

The third proportional to 592,753,044,078 and 799,763,021,001 is: 1,079,068,080,967.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,753,044,078 : 799,763,021,001 = 799,763,021,001 : x
  2. Step 2: Convert to fraction form
    592,753,044,078/799,763,021,001 = 799,763,021,001/x
  3. Step 3: Cross multiply
    592,753,044,078x = 799,763,021,001 × 799,763,021,001
  4. Step 4: Simplify right side
    592,753,044,078x = 639,620,889,760,646,008,143,872
  5. Step 5: Solve for x
    x = 639,620,889,760,646,008,143,872/592,753,044,078
  6. Step 6: Final answer
    x = 1,079,068,080,967.09

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.