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Finding the Third Proportional to 26,083,626,356 and 57,291,456,032

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Solution

The third proportional to 26,083,626,356 and 57,291,456,032 is: 125,837,983,164.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,083,626,356 : 57,291,456,032 = 57,291,456,032 : x
  2. Step 2: Convert to fraction form
    26,083,626,356/57,291,456,032 = 57,291,456,032/x
  3. Step 3: Cross multiply
    26,083,626,356x = 57,291,456,032 × 57,291,456,032
  4. Step 4: Simplify right side
    26,083,626,356x = 3,282,310,934,266,588,954,624
  5. Step 5: Solve for x
    x = 3,282,310,934,266,588,954,624/26,083,626,356
  6. Step 6: Final answer
    x = 125,837,983,164.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.