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Finding the Third Proportional to 768,626,590,080 and 1,600,871,949,090

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Solution

The third proportional to 768,626,590,080 and 1,600,871,949,090 is: 3,334,247,123,972.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,626,590,080 : 1,600,871,949,090 = 1,600,871,949,090 : x
  2. Step 2: Convert to fraction form
    768,626,590,080/1,600,871,949,090 = 1,600,871,949,090/x
  3. Step 3: Cross multiply
    768,626,590,080x = 1,600,871,949,090 × 1,600,871,949,090
  4. Step 4: Simplify right side
    768,626,590,080x = 2,562,790,997,383,215,690,285,056
  5. Step 5: Solve for x
    x = 2,562,790,997,383,215,690,285,056/768,626,590,080
  6. Step 6: Final answer
    x = 3,334,247,123,972.74

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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.