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Finding the Third Proportional to 12,196,194 and 26,518,071

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Solution

The third proportional to 12,196,194 and 26,518,071 is: 57,657,994.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196,194 : 26,518,071 = 26,518,071 : x
  2. Step 2: Convert to fraction form
    12,196,194/26,518,071 = 26,518,071/x
  3. Step 3: Cross multiply
    12,196,194x = 26,518,071 × 26,518,071
  4. Step 4: Simplify right side
    12,196,194x = 703,208,089,561,041
  5. Step 5: Solve for x
    x = 703,208,089,561,041/12,196,194
  6. Step 6: Final answer
    x = 57,657,994.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.