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Finding the Third Proportional to 8,046,751 and 17,244,046

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Solution

The third proportional to 8,046,751 and 17,244,046 is: 36,953,687.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046,751 : 17,244,046 = 17,244,046 : x
  2. Step 2: Convert to fraction form
    8,046,751/17,244,046 = 17,244,046/x
  3. Step 3: Cross multiply
    8,046,751x = 17,244,046 × 17,244,046
  4. Step 4: Simplify right side
    8,046,751x = 297,357,122,450,116
  5. Step 5: Solve for x
    x = 297,357,122,450,116/8,046,751
  6. Step 6: Final answer
    x = 36,953,687.58

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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.