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Finding the Third Proportional to 12,410,460,583 and 17,414,332,957

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Solution

The third proportional to 12,410,460,583 and 17,414,332,957 is: 24,435,756,457.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410,460,583 : 17,414,332,957 = 17,414,332,957 : x
  2. Step 2: Convert to fraction form
    12,410,460,583/17,414,332,957 = 17,414,332,957/x
  3. Step 3: Cross multiply
    12,410,460,583x = 17,414,332,957 × 17,414,332,957
  4. Step 4: Simplify right side
    12,410,460,583x = 303,258,992,337,256,382,464
  5. Step 5: Solve for x
    x = 303,258,992,337,256,382,464/12,410,460,583
  6. Step 6: Final answer
    x = 24,435,756,457.96

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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.