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Finding the Third Proportional to 518,112,728 and 1,122,319,024

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Solution

The third proportional to 518,112,728 and 1,122,319,024 is: 2,431,131,148.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,112,728 : 1,122,319,024 = 1,122,319,024 : x
  2. Step 2: Convert to fraction form
    518,112,728/1,122,319,024 = 1,122,319,024/x
  3. Step 3: Cross multiply
    518,112,728x = 1,122,319,024 × 1,122,319,024
  4. Step 4: Simplify right side
    518,112,728x = 1,259,599,991,632,312,576
  5. Step 5: Solve for x
    x = 1,259,599,991,632,312,576/518,112,728
  6. Step 6: Final answer
    x = 2,431,131,148.80

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.