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Finding the Third Proportional to 27,239,722,423 and 38,342,816,293

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Solution

The third proportional to 27,239,722,423 and 38,342,816,293 is: 53,971,605,820.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,239,722,423 : 38,342,816,293 = 38,342,816,293 : x
  2. Step 2: Convert to fraction form
    27,239,722,423/38,342,816,293 = 38,342,816,293/x
  3. Step 3: Cross multiply
    27,239,722,423x = 38,342,816,293 × 38,342,816,293
  4. Step 4: Simplify right side
    27,239,722,423x = 1,470,171,561,278,746,132,480
  5. Step 5: Solve for x
    x = 1,470,171,561,278,746,132,480/27,239,722,423
  6. Step 6: Final answer
    x = 53,971,605,820.67

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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.