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Finding the Third Proportional to 12,568,176 and 19,217,628

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Solution

The third proportional to 12,568,176 and 19,217,628 is: 29,385,109.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,568,176 : 19,217,628 = 19,217,628 : x
  2. Step 2: Convert to fraction form
    12,568,176/19,217,628 = 19,217,628/x
  3. Step 3: Cross multiply
    12,568,176x = 19,217,628 × 19,217,628
  4. Step 4: Simplify right side
    12,568,176x = 369,317,225,946,384
  5. Step 5: Solve for x
    x = 369,317,225,946,384/12,568,176
  6. Step 6: Final answer
    x = 29,385,109.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.