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Finding the Third Proportional to 3,837,124 and 8,205,944

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Solution

The third proportional to 3,837,124 and 8,205,944 is: 17,548,955.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837,124 : 8,205,944 = 8,205,944 : x
  2. Step 2: Convert to fraction form
    3,837,124/8,205,944 = 8,205,944/x
  3. Step 3: Cross multiply
    3,837,124x = 8,205,944 × 8,205,944
  4. Step 4: Simplify right side
    3,837,124x = 67,337,516,931,136
  5. Step 5: Solve for x
    x = 67,337,516,931,136/3,837,124
  6. Step 6: Final answer
    x = 17,548,955.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.