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Finding the Third Proportional to 12,294,000 and 18,042,408

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Solution

The third proportional to 12,294,000 and 18,042,408 is: 26,478,647.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294,000 : 18,042,408 = 18,042,408 : x
  2. Step 2: Convert to fraction form
    12,294,000/18,042,408 = 18,042,408/x
  3. Step 3: Cross multiply
    12,294,000x = 18,042,408 × 18,042,408
  4. Step 4: Simplify right side
    12,294,000x = 325,528,486,438,464
  5. Step 5: Solve for x
    x = 325,528,486,438,464/12,294,000
  6. Step 6: Final answer
    x = 26,478,647.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.