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Finding the Third Proportional to 4,610,469.38 and 10,018,085.06

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Solution

The third proportional to 4,610,469.38 and 10,018,085.06 is: 21,768,288.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610,469.38 : 10,018,085.06 = 10,018,085.06 : x
  2. Step 2: Convert to fraction form
    4,610,469.38/10,018,085.06 = 10,018,085.06/x
  3. Step 3: Cross multiply
    4,610,469.38x = 10,018,085.06 × 10,018,085.06
  4. Step 4: Simplify right side
    4,610,469.38x = 100,362,028,319,485.62
  5. Step 5: Solve for x
    x = 100,362,028,319,485.62/4,610,469.38
  6. Step 6: Final answer
    x = 21,768,288.68

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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.