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Finding the Third Proportional to 2,136,870,535.50 and 4,641,591,303

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Solution

The third proportional to 2,136,870,535.50 and 4,641,591,303 is: 10,082,206,416.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136,870,535.50 : 4,641,591,303 = 4,641,591,303 : x
  2. Step 2: Convert to fraction form
    2,136,870,535.50/4,641,591,303 = 4,641,591,303/x
  3. Step 3: Cross multiply
    2,136,870,535.50x = 4,641,591,303 × 4,641,591,303
  4. Step 4: Simplify right side
    2,136,870,535.50x = 21,544,369,824,085,237,760
  5. Step 5: Solve for x
    x = 21,544,369,824,085,237,760/2,136,870,535.50
  6. Step 6: Final answer
    x = 10,082,206,416.42

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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.