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Finding the Third Proportional to 51,317,768 and 111,670,024

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Solution

The third proportional to 51,317,768 and 111,670,024 is: 242,999,544.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,317,768 : 111,670,024 = 111,670,024 : x
  2. Step 2: Convert to fraction form
    51,317,768/111,670,024 = 111,670,024/x
  3. Step 3: Cross multiply
    51,317,768x = 111,670,024 × 111,670,024
  4. Step 4: Simplify right side
    51,317,768x = 12,470,194,260,160,576
  5. Step 5: Solve for x
    x = 12,470,194,260,160,576/51,317,768
  6. Step 6: Final answer
    x = 242,999,544.72

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.