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Finding the Third Proportional to 2,197,007,019 and 4,820,687,298

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Solution

The third proportional to 2,197,007,019 and 4,820,687,298 is: 10,577,583,878.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197,007,019 : 4,820,687,298 = 4,820,687,298 : x
  2. Step 2: Convert to fraction form
    2,197,007,019/4,820,687,298 = 4,820,687,298/x
  3. Step 3: Cross multiply
    2,197,007,019x = 4,820,687,298 × 4,820,687,298
  4. Step 4: Simplify right side
    2,197,007,019x = 23,239,026,025,098,539,008
  5. Step 5: Solve for x
    x = 23,239,026,025,098,539,008/2,197,007,019
  6. Step 6: Final answer
    x = 10,577,583,878.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.