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Finding the Third Proportional to 6,514,966.69 and 14,164,576.31

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Solution

The third proportional to 6,514,966.69 and 14,164,576.31 is: 30,796,047.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514,966.69 : 14,164,576.31 = 14,164,576.31 : x
  2. Step 2: Convert to fraction form
    6,514,966.69/14,164,576.31 = 14,164,576.31/x
  3. Step 3: Cross multiply
    6,514,966.69x = 14,164,576.31 × 14,164,576.31
  4. Step 4: Simplify right side
    6,514,966.69x = 200,635,222,112,636.09
  5. Step 5: Solve for x
    x = 200,635,222,112,636.09/6,514,966.69
  6. Step 6: Final answer
    x = 30,796,047.28

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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.