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Finding the Third Proportional to 1,638,693,680 and 2,395,827,456

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Solution

The third proportional to 1,638,693,680 and 2,395,827,456 is: 3,502,783,509.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,693,680 : 2,395,827,456 = 2,395,827,456 : x
  2. Step 2: Convert to fraction form
    1,638,693,680/2,395,827,456 = 2,395,827,456/x
  3. Step 3: Cross multiply
    1,638,693,680x = 2,395,827,456 × 2,395,827,456
  4. Step 4: Simplify right side
    1,638,693,680x = 5,739,989,198,923,431,936
  5. Step 5: Solve for x
    x = 5,739,989,198,923,431,936/1,638,693,680
  6. Step 6: Final answer
    x = 3,502,783,509.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.