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Finding the Third Proportional to 12,410,460,567 and 17,414,332,947

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Solution

The third proportional to 12,410,460,567 and 17,414,332,947 is: 24,435,756,461.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410,460,567 : 17,414,332,947 = 17,414,332,947 : x
  2. Step 2: Convert to fraction form
    12,410,460,567/17,414,332,947 = 17,414,332,947/x
  3. Step 3: Cross multiply
    12,410,460,567x = 17,414,332,947 × 17,414,332,947
  4. Step 4: Simplify right side
    12,410,460,567x = 303,258,991,988,969,701,376
  5. Step 5: Solve for x
    x = 303,258,991,988,969,701,376/12,410,460,567
  6. Step 6: Final answer
    x = 24,435,756,461.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.