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Finding the Third Proportional to 27,966,175,884 and 59,921,342,244

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Solution

The third proportional to 27,966,175,884 and 59,921,342,244 is: 128,389,640,085.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,966,175,884 : 59,921,342,244 = 59,921,342,244 : x
  2. Step 2: Convert to fraction form
    27,966,175,884/59,921,342,244 = 59,921,342,244/x
  3. Step 3: Cross multiply
    27,966,175,884x = 59,921,342,244 × 59,921,342,244
  4. Step 4: Simplify right side
    27,966,175,884x = 3,590,567,256,322,578,841,600
  5. Step 5: Solve for x
    x = 3,590,567,256,322,578,841,600/27,966,175,884
  6. Step 6: Final answer
    x = 128,389,640,085.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.