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Finding the Third Proportional to 2,475,695,856 and 3,703,728,108

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Solution

The third proportional to 2,475,695,856 and 3,703,728,108 is: 5,540,907,565.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475,695,856 : 3,703,728,108 = 3,703,728,108 : x
  2. Step 2: Convert to fraction form
    2,475,695,856/3,703,728,108 = 3,703,728,108/x
  3. Step 3: Cross multiply
    2,475,695,856x = 3,703,728,108 × 3,703,728,108
  4. Step 4: Simplify right side
    2,475,695,856x = 13,717,601,897,989,259,264
  5. Step 5: Solve for x
    x = 13,717,601,897,989,259,264/2,475,695,856
  6. Step 6: Final answer
    x = 5,540,907,565.34

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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.