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Finding the Third Proportional to 10,583,078 and 23,183,976

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Solution

The third proportional to 10,583,078 and 23,183,976 is: 50,788,319.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583,078 : 23,183,976 = 23,183,976 : x
  2. Step 2: Convert to fraction form
    10,583,078/23,183,976 = 23,183,976/x
  3. Step 3: Cross multiply
    10,583,078x = 23,183,976 × 23,183,976
  4. Step 4: Simplify right side
    10,583,078x = 537,496,743,168,576
  5. Step 5: Solve for x
    x = 537,496,743,168,576/10,583,078
  6. Step 6: Final answer
    x = 50,788,319.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.