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Finding the Third Proportional to 13,158,990 and 29,343,675.94

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Solution

The third proportional to 13,158,990 and 29,343,675.94 is: 65,434,453.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,158,990 : 29,343,675.94 = 29,343,675.94 : x
  2. Step 2: Convert to fraction form
    13,158,990/29,343,675.94 = 29,343,675.94/x
  3. Step 3: Cross multiply
    13,158,990x = 29,343,675.94 × 29,343,675.94
  4. Step 4: Simplify right side
    13,158,990x = 861,051,317,525,016.50
  5. Step 5: Solve for x
    x = 861,051,317,525,016.50/13,158,990
  6. Step 6: Final answer
    x = 65,434,453.37

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.