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Finding the Third Proportional to 592,752,942,288 and 799,762,887,414

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Solution

The third proportional to 592,752,942,288 and 799,762,887,414 is: 1,079,067,905,788.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,752,942,288 : 799,762,887,414 = 799,762,887,414 : x
  2. Step 2: Convert to fraction form
    592,752,942,288/799,762,887,414 = 799,762,887,414/x
  3. Step 3: Cross multiply
    592,752,942,288x = 799,762,887,414 × 799,762,887,414
  4. Step 4: Simplify right side
    592,752,942,288x = 639,620,676,084,778,431,152,128
  5. Step 5: Solve for x
    x = 639,620,676,084,778,431,152,128/592,752,942,288
  6. Step 6: Final answer
    x = 1,079,067,905,788.66

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