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Finding the Third Proportional to 4,661,003,305 and 9,986,839,298

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Solution

The third proportional to 4,661,003,305 and 9,986,839,298 is: 21,398,173,877.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661,003,305 : 9,986,839,298 = 9,986,839,298 : x
  2. Step 2: Convert to fraction form
    4,661,003,305/9,986,839,298 = 9,986,839,298/x
  3. Step 3: Cross multiply
    4,661,003,305x = 9,986,839,298 × 9,986,839,298
  4. Step 4: Simplify right side
    4,661,003,305x = 99,736,959,164,077,129,728
  5. Step 5: Solve for x
    x = 99,736,959,164,077,129,728/4,661,003,305
  6. Step 6: Final answer
    x = 21,398,173,877.52

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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.