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Finding the Third Proportional to 27,239,720,252 and 38,342,813,252

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Solution

The third proportional to 27,239,720,252 and 38,342,813,252 is: 53,971,601,561.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,239,720,252 : 38,342,813,252 = 38,342,813,252 : x
  2. Step 2: Convert to fraction form
    27,239,720,252/38,342,813,252 = 38,342,813,252/x
  3. Step 3: Cross multiply
    27,239,720,252x = 38,342,813,252 × 38,342,813,252
  4. Step 4: Simplify right side
    27,239,720,252x = 1,470,171,328,077,746,929,664
  5. Step 5: Solve for x
    x = 1,470,171,328,077,746,929,664/27,239,720,252
  6. Step 6: Final answer
    x = 53,971,601,561.14

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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.