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Finding the Third Proportional to 2,475,695,858 and 3,703,728,111

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Solution

The third proportional to 2,475,695,858 and 3,703,728,111 is: 5,540,907,569.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475,695,858 : 3,703,728,111 = 3,703,728,111 : x
  2. Step 2: Convert to fraction form
    2,475,695,858/3,703,728,111 = 3,703,728,111/x
  3. Step 3: Cross multiply
    2,475,695,858x = 3,703,728,111 × 3,703,728,111
  4. Step 4: Simplify right side
    2,475,695,858x = 13,717,601,920,211,628,032
  5. Step 5: Solve for x
    x = 13,717,601,920,211,628,032/2,475,695,858
  6. Step 6: Final answer
    x = 5,540,907,569.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.