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Finding the Third Proportional to 12,389,823 and 26,573,258.25

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Solution

The third proportional to 12,389,823 and 26,573,258.25 is: 56,993,393.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,389,823 : 26,573,258.25 = 26,573,258.25 : x
  2. Step 2: Convert to fraction form
    12,389,823/26,573,258.25 = 26,573,258.25/x
  3. Step 3: Cross multiply
    12,389,823x = 26,573,258.25 × 26,573,258.25
  4. Step 4: Simplify right side
    12,389,823x = 706,138,054,021,193
  5. Step 5: Solve for x
    x = 706,138,054,021,193/12,389,823
  6. Step 6: Final answer
    x = 56,993,393.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.