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Finding the Third Proportional to 37,110,406 and 75,264,268

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Solution

The third proportional to 37,110,406 and 75,264,268 is: 152,644,787.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,110,406 : 75,264,268 = 75,264,268 : x
  2. Step 2: Convert to fraction form
    37,110,406/75,264,268 = 75,264,268/x
  3. Step 3: Cross multiply
    37,110,406x = 75,264,268 × 75,264,268
  4. Step 4: Simplify right side
    37,110,406x = 5,664,710,037,575,824
  5. Step 5: Solve for x
    x = 5,664,710,037,575,824/37,110,406
  6. Step 6: Final answer
    x = 152,644,787.49

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.