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Finding the Third Proportional to 380,299,088 and 833,504,008

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Solution

The third proportional to 380,299,088 and 833,504,008 is: 1,826,796,206.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,299,088 : 833,504,008 = 833,504,008 : x
  2. Step 2: Convert to fraction form
    380,299,088/833,504,008 = 833,504,008/x
  3. Step 3: Cross multiply
    380,299,088x = 833,504,008 × 833,504,008
  4. Step 4: Simplify right side
    380,299,088x = 694,728,931,352,064,000
  5. Step 5: Solve for x
    x = 694,728,931,352,064,000/380,299,088
  6. Step 6: Final answer
    x = 1,826,796,206.65

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.