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Finding the Third Proportional to 592,753,044,075.76 and 799,763,020,998.76

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Solution

The third proportional to 592,753,044,075.76 and 799,763,020,998.76 is: 1,079,068,080,965.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,753,044,075.76 : 799,763,020,998.76 = 799,763,020,998.76 : x
  2. Step 2: Convert to fraction form
    592,753,044,075.76/799,763,020,998.76 = 799,763,020,998.76/x
  3. Step 3: Cross multiply
    592,753,044,075.76x = 799,763,020,998.76 × 799,763,020,998.76
  4. Step 4: Simplify right side
    592,753,044,075.76x = 639,620,889,757,063,065,894,912
  5. Step 5: Solve for x
    x = 639,620,889,757,063,065,894,912/592,753,044,075.76
  6. Step 6: Final answer
    x = 1,079,068,080,965.12

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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.