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Finding the Third Proportional to 1,037,532,777 and 2,259,285,051

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Solution

The third proportional to 1,037,532,777 and 2,259,285,051 is: 4,919,718,253.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037,532,777 : 2,259,285,051 = 2,259,285,051 : x
  2. Step 2: Convert to fraction form
    1,037,532,777/2,259,285,051 = 2,259,285,051/x
  3. Step 3: Cross multiply
    1,037,532,777x = 2,259,285,051 × 2,259,285,051
  4. Step 4: Simplify right side
    1,037,532,777x = 5,104,368,941,672,072,192
  5. Step 5: Solve for x
    x = 5,104,368,941,672,072,192/1,037,532,777
  6. Step 6: Final answer
    x = 4,919,718,253.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.