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Finding the Third Proportional to 3,074,988,046 and 4,592,331,941

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Solution

The third proportional to 3,074,988,046 and 4,592,331,941 is: 6,858,404,761.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074,988,046 : 4,592,331,941 = 4,592,331,941 : x
  2. Step 2: Convert to fraction form
    3,074,988,046/4,592,331,941 = 4,592,331,941/x
  3. Step 3: Cross multiply
    3,074,988,046x = 4,592,331,941 × 4,592,331,941
  4. Step 4: Simplify right side
    3,074,988,046x = 21,089,512,656,328,826,880
  5. Step 5: Solve for x
    x = 21,089,512,656,328,826,880/3,074,988,046
  6. Step 6: Final answer
    x = 6,858,404,761.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.