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Finding the Third Proportional to 299,413,064 and 655,268,710

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Solution

The third proportional to 299,413,064 and 655,268,710 is: 1,434,062,617.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,413,064 : 655,268,710 = 655,268,710 : x
  2. Step 2: Convert to fraction form
    299,413,064/655,268,710 = 655,268,710/x
  3. Step 3: Cross multiply
    299,413,064x = 655,268,710 × 655,268,710
  4. Step 4: Simplify right side
    299,413,064x = 429,377,082,305,064,128
  5. Step 5: Solve for x
    x = 429,377,082,305,064,128/299,413,064
  6. Step 6: Final answer
    x = 1,434,062,617.61

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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.