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Finding the Third Proportional to 1,178,193,776 and 2,563,245,760

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Solution

The third proportional to 1,178,193,776 and 2,563,245,760 is: 5,576,526,510.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178,193,776 : 2,563,245,760 = 2,563,245,760 : x
  2. Step 2: Convert to fraction form
    1,178,193,776/2,563,245,760 = 2,563,245,760/x
  3. Step 3: Cross multiply
    1,178,193,776x = 2,563,245,760 × 2,563,245,760
  4. Step 4: Simplify right side
    1,178,193,776x = 6,570,228,826,157,977,600
  5. Step 5: Solve for x
    x = 6,570,228,826,157,977,600/1,178,193,776
  6. Step 6: Final answer
    x = 5,576,526,510.32

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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.