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Finding the Third Proportional to 1,218,331,248 and 2,670,224,589

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Solution

The third proportional to 1,218,331,248 and 2,670,224,589 is: 5,852,348,749.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218,331,248 : 2,670,224,589 = 2,670,224,589 : x
  2. Step 2: Convert to fraction form
    1,218,331,248/2,670,224,589 = 2,670,224,589/x
  3. Step 3: Cross multiply
    1,218,331,248x = 2,670,224,589 × 2,670,224,589
  4. Step 4: Simplify right side
    1,218,331,248x = 7,130,099,355,700,218,880
  5. Step 5: Solve for x
    x = 7,130,099,355,700,218,880/1,218,331,248
  6. Step 6: Final answer
    x = 5,852,348,749.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.