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Finding the Third Proportional to 27,239,720,240 and 38,342,813,236

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Solution

The third proportional to 27,239,720,240 and 38,342,813,236 is: 53,971,601,539.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,239,720,240 : 38,342,813,236 = 38,342,813,236 : x
  2. Step 2: Convert to fraction form
    27,239,720,240/38,342,813,236 = 38,342,813,236/x
  3. Step 3: Cross multiply
    27,239,720,240x = 38,342,813,236 × 38,342,813,236
  4. Step 4: Simplify right side
    27,239,720,240x = 1,470,171,326,850,776,694,784
  5. Step 5: Solve for x
    x = 1,470,171,326,850,776,694,784/27,239,720,240
  6. Step 6: Final answer
    x = 53,971,601,539.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.