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Finding the Third Proportional to 548,077,325,666 and 1,141,259,096,845

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Solution

The third proportional to 548,077,325,666 and 1,141,259,096,845 is: 2,376,438,989,788.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,077,325,666 : 1,141,259,096,845 = 1,141,259,096,845 : x
  2. Step 2: Convert to fraction form
    548,077,325,666/1,141,259,096,845 = 1,141,259,096,845/x
  3. Step 3: Cross multiply
    548,077,325,666x = 1,141,259,096,845 × 1,141,259,096,845
  4. Step 4: Simplify right side
    548,077,325,666x = 1,302,472,326,131,465,075,032,064
  5. Step 5: Solve for x
    x = 1,302,472,326,131,465,075,032,064/548,077,325,666
  6. Step 6: Final answer
    x = 2,376,438,989,788.09

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.