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Finding the Third Proportional to 764,022,618 and 1,637,056,980

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Solution

The third proportional to 764,022,618 and 1,637,056,980 is: 3,507,691,385.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,022,618 : 1,637,056,980 = 1,637,056,980 : x
  2. Step 2: Convert to fraction form
    764,022,618/1,637,056,980 = 1,637,056,980/x
  3. Step 3: Cross multiply
    764,022,618x = 1,637,056,980 × 1,637,056,980
  4. Step 4: Simplify right side
    764,022,618x = 2,679,955,555,766,720,512
  5. Step 5: Solve for x
    x = 2,679,955,555,766,720,512/764,022,618
  6. Step 6: Final answer
    x = 3,507,691,385.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.