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Finding the Third Proportional to 10,966,213.69 and 23,761,063.97

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Solution

The third proportional to 10,966,213.69 and 23,761,063.97 is: 51,484,329.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966,213.69 : 23,761,063.97 = 23,761,063.97 : x
  2. Step 2: Convert to fraction form
    10,966,213.69/23,761,063.97 = 23,761,063.97/x
  3. Step 3: Cross multiply
    10,966,213.69x = 23,761,063.97 × 23,761,063.97
  4. Step 4: Simplify right side
    10,966,213.69x = 564,588,160,927,029.50
  5. Step 5: Solve for x
    x = 564,588,160,927,029.50/10,966,213.69
  6. Step 6: Final answer
    x = 51,484,329.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.