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Finding the Third Proportional to 5,013,945 and 10,986,214.50

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Solution

The third proportional to 5,013,945 and 10,986,214.50 is: 24,072,244.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,013,945 : 10,986,214.50 = 10,986,214.50 : x
  2. Step 2: Convert to fraction form
    5,013,945/10,986,214.50 = 10,986,214.50/x
  3. Step 3: Cross multiply
    5,013,945x = 10,986,214.50 × 10,986,214.50
  4. Step 4: Simplify right side
    5,013,945x = 120,696,909,040,010.25
  5. Step 5: Solve for x
    x = 120,696,909,040,010.25/5,013,945
  6. Step 6: Final answer
    x = 24,072,244.32

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