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Finding the Third Proportional to 10,715,476.50 and 23,511,968.44

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Solution

The third proportional to 10,715,476.50 and 23,511,968.44 is: 51,590,114.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,715,476.50 : 23,511,968.44 = 23,511,968.44 : x
  2. Step 2: Convert to fraction form
    10,715,476.50/23,511,968.44 = 23,511,968.44/x
  3. Step 3: Cross multiply
    10,715,476.50x = 23,511,968.44 × 23,511,968.44
  4. Step 4: Simplify right side
    10,715,476.50x = 552,812,659,805,996.19
  5. Step 5: Solve for x
    x = 552,812,659,805,996.19/10,715,476.50
  6. Step 6: Final answer
    x = 51,590,114.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.