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Finding the Third Proportional to 8,685,111 and 18,562,911

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Solution

The third proportional to 8,685,111 and 18,562,911 is: 39,674,986.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,685,111 : 18,562,911 = 18,562,911 : x
  2. Step 2: Convert to fraction form
    8,685,111/18,562,911 = 18,562,911/x
  3. Step 3: Cross multiply
    8,685,111x = 18,562,911 × 18,562,911
  4. Step 4: Simplify right side
    8,685,111x = 344,581,664,793,921
  5. Step 5: Solve for x
    x = 344,581,664,793,921/8,685,111
  6. Step 6: Final answer
    x = 39,674,986.86

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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.