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Finding the Third Proportional to 2,406,548,093,420 and 3,640,773,646,052

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Solution

The third proportional to 2,406,548,093,420 and 3,640,773,646,052 is: 5,507,985,806,736.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406,548,093,420 : 3,640,773,646,052 = 3,640,773,646,052 : x
  2. Step 2: Convert to fraction form
    2,406,548,093,420/3,640,773,646,052 = 3,640,773,646,052/x
  3. Step 3: Cross multiply
    2,406,548,093,420x = 3,640,773,646,052 × 3,640,773,646,052
  4. Step 4: Simplify right side
    2,406,548,093,420x = 13,255,232,741,786,773,255,880,704
  5. Step 5: Solve for x
    x = 13,255,232,741,786,773,255,880,704/2,406,548,093,420
  6. Step 6: Final answer
    x = 5,507,985,806,736.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.