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Finding the Third Proportional to 1,988,729,760 and 2,765,170,476

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Solution

The third proportional to 1,988,729,760 and 2,765,170,476 is: 3,844,749,505.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988,729,760 : 2,765,170,476 = 2,765,170,476 : x
  2. Step 2: Convert to fraction form
    1,988,729,760/2,765,170,476 = 2,765,170,476/x
  3. Step 3: Cross multiply
    1,988,729,760x = 2,765,170,476 × 2,765,170,476
  4. Step 4: Simplify right side
    1,988,729,760x = 7,646,167,761,342,066,688
  5. Step 5: Solve for x
    x = 7,646,167,761,342,066,688/1,988,729,760
  6. Step 6: Final answer
    x = 3,844,749,505.50

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.