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Finding the Third Proportional to 11,489,973 and 17,013,109.50

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Solution

The third proportional to 11,489,973 and 17,013,109.50 is: 25,191,172.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,489,973 : 17,013,109.50 = 17,013,109.50 : x
  2. Step 2: Convert to fraction form
    11,489,973/17,013,109.50 = 17,013,109.50/x
  3. Step 3: Cross multiply
    11,489,973x = 17,013,109.50 × 17,013,109.50
  4. Step 4: Simplify right side
    11,489,973x = 289,445,894,858,990.25
  5. Step 5: Solve for x
    x = 289,445,894,858,990.25/11,489,973
  6. Step 6: Final answer
    x = 25,191,172.76

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.