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Finding the Third Proportional to 2,047,223,916 and 4,420,664,033

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Solution

The third proportional to 2,047,223,916 and 4,420,664,033 is: 9,545,741,596.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047,223,916 : 4,420,664,033 = 4,420,664,033 : x
  2. Step 2: Convert to fraction form
    2,047,223,916/4,420,664,033 = 4,420,664,033/x
  3. Step 3: Cross multiply
    2,047,223,916x = 4,420,664,033 × 4,420,664,033
  4. Step 4: Simplify right side
    2,047,223,916x = 19,542,270,492,659,826,688
  5. Step 5: Solve for x
    x = 19,542,270,492,659,826,688/2,047,223,916
  6. Step 6: Final answer
    x = 9,545,741,596.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.