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Finding the Third Proportional to 380,299,089 and 833,504,010

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Solution

The third proportional to 380,299,089 and 833,504,010 is: 1,826,796,210.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,299,089 : 833,504,010 = 833,504,010 : x
  2. Step 2: Convert to fraction form
    380,299,089/833,504,010 = 833,504,010/x
  3. Step 3: Cross multiply
    380,299,089x = 833,504,010 × 833,504,010
  4. Step 4: Simplify right side
    380,299,089x = 694,728,934,686,080,128
  5. Step 5: Solve for x
    x = 694,728,934,686,080,128/380,299,089
  6. Step 6: Final answer
    x = 1,826,796,210.62

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Why These Related Problems?

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