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Finding the Third Proportional to 4,636,576.69 and 10,285,597.69

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Solution

The third proportional to 4,636,576.69 and 10,285,597.69 is: 22,817,161.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636,576.69 : 10,285,597.69 = 10,285,597.69 : x
  2. Step 2: Convert to fraction form
    4,636,576.69/10,285,597.69 = 10,285,597.69/x
  3. Step 3: Cross multiply
    4,636,576.69x = 10,285,597.69 × 10,285,597.69
  4. Step 4: Simplify right side
    4,636,576.69x = 105,793,519,789,105.34
  5. Step 5: Solve for x
    x = 105,793,519,789,105.34/4,636,576.69
  6. Step 6: Final answer
    x = 22,817,161.65

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.