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Finding the Third Proportional to 26,698,443,867,886 and 57,259,886,195,256

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Solution

The third proportional to 26,698,443,867,886 and 57,259,886,195,256 is: 122,804,706,645,746.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,698,443,867,886 : 57,259,886,195,256 = 57,259,886,195,256 : x
  2. Step 2: Convert to fraction form
    26,698,443,867,886/57,259,886,195,256 = 57,259,886,195,256/x
  3. Step 3: Cross multiply
    26,698,443,867,886x = 57,259,886,195,256 × 57,259,886,195,256
  4. Step 4: Simplify right side
    26,698,443,867,886x = 3,278,694,567,093,668,405,655,371,776
  5. Step 5: Solve for x
    x = 3,278,694,567,093,668,405,655,371,776/26,698,443,867,886
  6. Step 6: Final answer
    x = 122,804,706,645,746.45

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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.