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Finding the Third Proportional to 671,796,256,524.75 and 1,480,525,982,872.90

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Solution

The third proportional to 671,796,256,524.75 and 1,480,525,982,872.90 is: 3,262,830,307,065.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,796,256,524.75 : 1,480,525,982,872.90 = 1,480,525,982,872.90 : x
  2. Step 2: Convert to fraction form
    671,796,256,524.75/1,480,525,982,872.90 = 1,480,525,982,872.90/x
  3. Step 3: Cross multiply
    671,796,256,524.75x = 1,480,525,982,872.90 × 1,480,525,982,872.90
  4. Step 4: Simplify right side
    671,796,256,524.75x = 2,191,957,185,961,766,395,314,176
  5. Step 5: Solve for x
    x = 2,191,957,185,961,766,395,314,176/671,796,256,524.75
  6. Step 6: Final answer
    x = 3,262,830,307,065.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.