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Finding the Third Proportional to 1,741,884,707,277 and 2,732,503,114,998

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Solution

The third proportional to 1,741,884,707,277 and 2,732,503,114,998 is: 4,286,491,087,659.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741,884,707,277 : 2,732,503,114,998 = 2,732,503,114,998 : x
  2. Step 2: Convert to fraction form
    1,741,884,707,277/2,732,503,114,998 = 2,732,503,114,998/x
  3. Step 3: Cross multiply
    1,741,884,707,277x = 2,732,503,114,998 × 2,732,503,114,998
  4. Step 4: Simplify right side
    1,741,884,707,277x = 7,466,573,273,473,773,400,489,984
  5. Step 5: Solve for x
    x = 7,466,573,273,473,773,400,489,984/1,741,884,707,277
  6. Step 6: Final answer
    x = 4,286,491,087,659.81

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.