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Finding the Third Proportional to 13,108,974.19 and 20,519,125.03

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Solution

The third proportional to 13,108,974.19 and 20,519,125.03 is: 32,118,035.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,108,974.19 : 20,519,125.03 = 20,519,125.03 : x
  2. Step 2: Convert to fraction form
    13,108,974.19/20,519,125.03 = 20,519,125.03/x
  3. Step 3: Cross multiply
    13,108,974.19x = 20,519,125.03 × 20,519,125.03
  4. Step 4: Simplify right side
    13,108,974.19x = 421,034,492,048,070.31
  5. Step 5: Solve for x
    x = 421,034,492,048,070.31/13,108,974.19
  6. Step 6: Final answer
    x = 32,118,035.02

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.