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Finding the Third Proportional to 12,839,312.25 and 26,127,026.44

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Solution

The third proportional to 12,839,312.25 and 26,127,026.44 is: 53,166,516.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,839,312.25 : 26,127,026.44 = 26,127,026.44 : x
  2. Step 2: Convert to fraction form
    12,839,312.25/26,127,026.44 = 26,127,026.44/x
  3. Step 3: Cross multiply
    12,839,312.25x = 26,127,026.44 × 26,127,026.44
  4. Step 4: Simplify right side
    12,839,312.25x = 682,621,510,465,824
  5. Step 5: Solve for x
    x = 682,621,510,465,824/12,839,312.25
  6. Step 6: Final answer
    x = 53,166,516.80

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.