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Finding the Third Proportional to 1,194,014,286 and 2,583,607,608

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Solution

The third proportional to 1,194,014,286 and 2,583,607,608 is: 5,590,409,051.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194,014,286 : 2,583,607,608 = 2,583,607,608 : x
  2. Step 2: Convert to fraction form
    1,194,014,286/2,583,607,608 = 2,583,607,608/x
  3. Step 3: Cross multiply
    1,194,014,286x = 2,583,607,608 × 2,583,607,608
  4. Step 4: Simplify right side
    1,194,014,286x = 6,675,028,272,115,481,600
  5. Step 5: Solve for x
    x = 6,675,028,272,115,481,600/1,194,014,286
  6. Step 6: Final answer
    x = 5,590,409,051.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.