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Finding the Third Proportional to 2,179,418,440 and 3,383,963,632

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Solution

The third proportional to 2,179,418,440 and 3,383,963,632 is: 5,254,250,240.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179,418,440 : 3,383,963,632 = 3,383,963,632 : x
  2. Step 2: Convert to fraction form
    2,179,418,440/3,383,963,632 = 3,383,963,632/x
  3. Step 3: Cross multiply
    2,179,418,440x = 3,383,963,632 × 3,383,963,632
  4. Step 4: Simplify right side
    2,179,418,440x = 11,451,209,862,698,631,168
  5. Step 5: Solve for x
    x = 11,451,209,862,698,631,168/2,179,418,440
  6. Step 6: Final answer
    x = 5,254,250,240.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.