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Finding the Third Proportional to 1,096,166,556 and 2,557,810,362

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Solution

The third proportional to 1,096,166,556 and 2,557,810,362 is: 5,968,430,447.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096,166,556 : 2,557,810,362 = 2,557,810,362 : x
  2. Step 2: Convert to fraction form
    1,096,166,556/2,557,810,362 = 2,557,810,362/x
  3. Step 3: Cross multiply
    1,096,166,556x = 2,557,810,362 × 2,557,810,362
  4. Step 4: Simplify right side
    1,096,166,556x = 6,542,393,847,954,571,264
  5. Step 5: Solve for x
    x = 6,542,393,847,954,571,264/1,096,166,556
  6. Step 6: Final answer
    x = 5,968,430,447.13

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.