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Finding the Third Proportional to 4,749,384 and 11,199,944

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Solution

The third proportional to 4,749,384 and 11,199,944 is: 26,411,582.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749,384 : 11,199,944 = 11,199,944 : x
  2. Step 2: Convert to fraction form
    4,749,384/11,199,944 = 11,199,944/x
  3. Step 3: Cross multiply
    4,749,384x = 11,199,944 × 11,199,944
  4. Step 4: Simplify right side
    4,749,384x = 125,438,745,603,136
  5. Step 5: Solve for x
    x = 125,438,745,603,136/4,749,384
  6. Step 6: Final answer
    x = 26,411,582.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.