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Finding the Third Proportional to 2,274,331,466 and 3,439,490,799

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Solution

The third proportional to 2,274,331,466 and 3,439,490,799 is: 5,201,571,157.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274,331,466 : 3,439,490,799 = 3,439,490,799 : x
  2. Step 2: Convert to fraction form
    2,274,331,466/3,439,490,799 = 3,439,490,799/x
  3. Step 3: Cross multiply
    2,274,331,466x = 3,439,490,799 × 3,439,490,799
  4. Step 4: Simplify right side
    2,274,331,466x = 11,830,096,956,405,657,600
  5. Step 5: Solve for x
    x = 11,830,096,956,405,657,600/2,274,331,466
  6. Step 6: Final answer
    x = 5,201,571,157.62

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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.