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Finding the Third Proportional to 380,299,078 and 833,503,988

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Solution

The third proportional to 380,299,078 and 833,503,988 is: 1,826,796,167.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,299,078 : 833,503,988 = 833,503,988 : x
  2. Step 2: Convert to fraction form
    380,299,078/833,503,988 = 833,503,988/x
  3. Step 3: Cross multiply
    380,299,078x = 833,503,988 × 833,503,988
  4. Step 4: Simplify right side
    380,299,078x = 694,728,898,011,904,128
  5. Step 5: Solve for x
    x = 694,728,898,011,904,128/380,299,078
  6. Step 6: Final answer
    x = 1,826,796,167.02

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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.