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Finding the Third Proportional to 2,475,695,848 and 3,703,728,102

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Solution

The third proportional to 2,475,695,848 and 3,703,728,102 is: 5,540,907,565.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475,695,848 : 3,703,728,102 = 3,703,728,102 : x
  2. Step 2: Convert to fraction form
    2,475,695,848/3,703,728,102 = 3,703,728,102/x
  3. Step 3: Cross multiply
    2,475,695,848x = 3,703,728,102 × 3,703,728,102
  4. Step 4: Simplify right side
    2,475,695,848x = 13,717,601,853,544,521,728
  5. Step 5: Solve for x
    x = 13,717,601,853,544,521,728/2,475,695,848
  6. Step 6: Final answer
    x = 5,540,907,565.29

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Why These Related Problems?

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