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Finding the Third Proportional to 5,189,042,837.25 and 7,749,560,871

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Solution

The third proportional to 5,189,042,837.25 and 7,749,560,871 is: 11,573,559,050.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189,042,837.25 : 7,749,560,871 = 7,749,560,871 : x
  2. Step 2: Convert to fraction form
    5,189,042,837.25/7,749,560,871 = 7,749,560,871/x
  3. Step 3: Cross multiply
    5,189,042,837.25x = 7,749,560,871 × 7,749,560,871
  4. Step 4: Simplify right side
    5,189,042,837.25x = 60,055,693,693,334,282,240
  5. Step 5: Solve for x
    x = 60,055,693,693,334,282,240/5,189,042,837.25
  6. Step 6: Final answer
    x = 11,573,559,050.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.