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Finding the Third Proportional to 10,045,057.50 and 21,802,536

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Solution

The third proportional to 10,045,057.50 and 21,802,536 is: 47,321,837.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045,057.50 : 21,802,536 = 21,802,536 : x
  2. Step 2: Convert to fraction form
    10,045,057.50/21,802,536 = 21,802,536/x
  3. Step 3: Cross multiply
    10,045,057.50x = 21,802,536 × 21,802,536
  4. Step 4: Simplify right side
    10,045,057.50x = 475,350,576,031,296
  5. Step 5: Solve for x
    x = 475,350,576,031,296/10,045,057.50
  6. Step 6: Final answer
    x = 47,321,837.24

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Why These Related Problems?

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