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Finding the Third Proportional to 6,786,700 and 14,636,096

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Solution

The third proportional to 6,786,700 and 14,636,096 is: 31,563,986.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786,700 : 14,636,096 = 14,636,096 : x
  2. Step 2: Convert to fraction form
    6,786,700/14,636,096 = 14,636,096/x
  3. Step 3: Cross multiply
    6,786,700x = 14,636,096 × 14,636,096
  4. Step 4: Simplify right side
    6,786,700x = 214,215,306,121,216
  5. Step 5: Solve for x
    x = 214,215,306,121,216/6,786,700
  6. Step 6: Final answer
    x = 31,563,986.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.