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Finding the Third Proportional to 5,702,103 and 12,408,021

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Solution

The third proportional to 5,702,103 and 12,408,021 is: 27,000,386.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702,103 : 12,408,021 = 12,408,021 : x
  2. Step 2: Convert to fraction form
    5,702,103/12,408,021 = 12,408,021/x
  3. Step 3: Cross multiply
    5,702,103x = 12,408,021 × 12,408,021
  4. Step 4: Simplify right side
    5,702,103x = 153,958,985,136,441
  5. Step 5: Solve for x
    x = 153,958,985,136,441/5,702,103
  6. Step 6: Final answer
    x = 27,000,386.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.