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Finding the Third Proportional to 74,512,292,739 and 162,510,526,283.25

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Solution

The third proportional to 74,512,292,739 and 162,510,526,283.25 is: 354,433,747,534.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,512,292,739 : 162,510,526,283.25 = 162,510,526,283.25 : x
  2. Step 2: Convert to fraction form
    74,512,292,739/162,510,526,283.25 = 162,510,526,283.25/x
  3. Step 3: Cross multiply
    74,512,292,739x = 162,510,526,283.25 × 162,510,526,283.25
  4. Step 4: Simplify right side
    74,512,292,739x = 26,409,671,152,858,887,618,560
  5. Step 5: Solve for x
    x = 26,409,671,152,858,887,618,560/74,512,292,739
  6. Step 6: Final answer
    x = 354,433,747,534.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.