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Finding the Third Proportional to 13,902,511.50 and 30,276,576

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Solution

The third proportional to 13,902,511.50 and 30,276,576 is: 65,935,644.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902,511.50 : 30,276,576 = 30,276,576 : x
  2. Step 2: Convert to fraction form
    13,902,511.50/30,276,576 = 30,276,576/x
  3. Step 3: Cross multiply
    13,902,511.50x = 30,276,576 × 30,276,576
  4. Step 4: Simplify right side
    13,902,511.50x = 916,671,054,283,776
  5. Step 5: Solve for x
    x = 916,671,054,283,776/13,902,511.50
  6. Step 6: Final answer
    x = 65,935,644.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.