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Finding the Third Proportional to 613,801,320 and 1,314,935,760

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Solution

The third proportional to 613,801,320 and 1,314,935,760 is: 2,816,963,725.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,801,320 : 1,314,935,760 = 1,314,935,760 : x
  2. Step 2: Convert to fraction form
    613,801,320/1,314,935,760 = 1,314,935,760/x
  3. Step 3: Cross multiply
    613,801,320x = 1,314,935,760 × 1,314,935,760
  4. Step 4: Simplify right side
    613,801,320x = 1,729,056,052,926,777,600
  5. Step 5: Solve for x
    x = 1,729,056,052,926,777,600/613,801,320
  6. Step 6: Final answer
    x = 2,816,963,725.21

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