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Finding the Third Proportional to 1,571,595,144 and 2,619,167,384

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Solution

The third proportional to 1,571,595,144 and 2,619,167,384 is: 4,365,015,895.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571,595,144 : 2,619,167,384 = 2,619,167,384 : x
  2. Step 2: Convert to fraction form
    1,571,595,144/2,619,167,384 = 2,619,167,384/x
  3. Step 3: Cross multiply
    1,571,595,144x = 2,619,167,384 × 2,619,167,384
  4. Step 4: Simplify right side
    1,571,595,144x = 6,860,037,785,409,403,904
  5. Step 5: Solve for x
    x = 6,860,037,785,409,403,904/1,571,595,144
  6. Step 6: Final answer
    x = 4,365,015,895.86

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.