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Finding the Third Proportional to 47,362,992 and 103,583,712

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Solution

The third proportional to 47,362,992 and 103,583,712 is: 226,539,433.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,362,992 : 103,583,712 = 103,583,712 : x
  2. Step 2: Convert to fraction form
    47,362,992/103,583,712 = 103,583,712/x
  3. Step 3: Cross multiply
    47,362,992x = 103,583,712 × 103,583,712
  4. Step 4: Simplify right side
    47,362,992x = 10,729,585,391,698,944
  5. Step 5: Solve for x
    x = 10,729,585,391,698,944/47,362,992
  6. Step 6: Final answer
    x = 226,539,433.82

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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.