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Finding the Third Proportional to 592,753,044,080 and 799,763,021,004

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Solution

The third proportional to 592,753,044,080 and 799,763,021,004 is: 1,079,068,080,971.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,753,044,080 : 799,763,021,004 = 799,763,021,004 : x
  2. Step 2: Convert to fraction form
    592,753,044,080/799,763,021,004 = 799,763,021,004/x
  3. Step 3: Cross multiply
    592,753,044,080x = 799,763,021,004 × 799,763,021,004
  4. Step 4: Simplify right side
    592,753,044,080x = 639,620,889,765,444,560,355,328
  5. Step 5: Solve for x
    x = 639,620,889,765,444,560,355,328/592,753,044,080
  6. Step 6: Final answer
    x = 1,079,068,080,971.54

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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.