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Finding the Third Proportional to 12,186,309 and 26,763,739.50

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Solution

The third proportional to 12,186,309 and 26,763,739.50 is: 58,778,892.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186,309 : 26,763,739.50 = 26,763,739.50 : x
  2. Step 2: Convert to fraction form
    12,186,309/26,763,739.50 = 26,763,739.50/x
  3. Step 3: Cross multiply
    12,186,309x = 26,763,739.50 × 26,763,739.50
  4. Step 4: Simplify right side
    12,186,309x = 716,297,752,023,860.25
  5. Step 5: Solve for x
    x = 716,297,752,023,860.25/12,186,309
  6. Step 6: Final answer
    x = 58,778,892.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.