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Finding the Third Proportional to 27,923,328,324 and 44,453,013,882

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Solution

The third proportional to 27,923,328,324 and 44,453,013,882 is: 70,767,725,833.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,923,328,324 : 44,453,013,882 = 44,453,013,882 : x
  2. Step 2: Convert to fraction form
    27,923,328,324/44,453,013,882 = 44,453,013,882/x
  3. Step 3: Cross multiply
    27,923,328,324x = 44,453,013,882 × 44,453,013,882
  4. Step 4: Simplify right side
    27,923,328,324x = 1,976,070,443,193,284,689,920
  5. Step 5: Solve for x
    x = 1,976,070,443,193,284,689,920/27,923,328,324
  6. Step 6: Final answer
    x = 70,767,725,833.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.