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Finding the Third Proportional to 4,646,247.75 and 9,965,085.75

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Solution

The third proportional to 4,646,247.75 and 9,965,085.75 is: 21,372,716.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646,247.75 : 9,965,085.75 = 9,965,085.75 : x
  2. Step 2: Convert to fraction form
    4,646,247.75/9,965,085.75 = 9,965,085.75/x
  3. Step 3: Cross multiply
    4,646,247.75x = 9,965,085.75 × 9,965,085.75
  4. Step 4: Simplify right side
    4,646,247.75x = 99,302,934,004,853.06
  5. Step 5: Solve for x
    x = 99,302,934,004,853.06/4,646,247.75
  6. Step 6: Final answer
    x = 21,372,716.08

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.