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Finding the Third Proportional to 5,260,252.50 and 11,333,097

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Solution

The third proportional to 5,260,252.50 and 11,333,097 is: 24,416,905.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260,252.50 : 11,333,097 = 11,333,097 : x
  2. Step 2: Convert to fraction form
    5,260,252.50/11,333,097 = 11,333,097/x
  3. Step 3: Cross multiply
    5,260,252.50x = 11,333,097 × 11,333,097
  4. Step 4: Simplify right side
    5,260,252.50x = 128,439,087,611,409
  5. Step 5: Solve for x
    x = 128,439,087,611,409/5,260,252.50
  6. Step 6: Final answer
    x = 24,416,905.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.