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Finding the Third Proportional to 6,289,206 and 13,303,543

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Solution

The third proportional to 6,289,206 and 13,303,543 is: 28,140,953.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289,206 : 13,303,543 = 13,303,543 : x
  2. Step 2: Convert to fraction form
    6,289,206/13,303,543 = 13,303,543/x
  3. Step 3: Cross multiply
    6,289,206x = 13,303,543 × 13,303,543
  4. Step 4: Simplify right side
    6,289,206x = 176,984,256,352,849
  5. Step 5: Solve for x
    x = 176,984,256,352,849/6,289,206
  6. Step 6: Final answer
    x = 28,140,953.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.