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Finding the Third Proportional to 768,626,590,015.10 and 1,600,871,948,907.80

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Solution

The third proportional to 768,626,590,015.10 and 1,600,871,948,907.80 is: 3,334,247,123,495.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,626,590,015.10 : 1,600,871,948,907.80 = 1,600,871,948,907.80 : x
  2. Step 2: Convert to fraction form
    768,626,590,015.10/1,600,871,948,907.80 = 1,600,871,948,907.80/x
  3. Step 3: Cross multiply
    768,626,590,015.10x = 1,600,871,948,907.80 × 1,600,871,948,907.80
  4. Step 4: Simplify right side
    768,626,590,015.10x = 2,562,790,996,799,858,199,756,800
  5. Step 5: Solve for x
    x = 2,562,790,996,799,858,199,756,800/768,626,590,015.10
  6. Step 6: Final answer
    x = 3,334,247,123,495.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.