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Finding the Third Proportional to 5,790,464 and 12,534,080

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Solution

The third proportional to 5,790,464 and 12,534,080 is: 27,131,359.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790,464 : 12,534,080 = 12,534,080 : x
  2. Step 2: Convert to fraction form
    5,790,464/12,534,080 = 12,534,080/x
  3. Step 3: Cross multiply
    5,790,464x = 12,534,080 × 12,534,080
  4. Step 4: Simplify right side
    5,790,464x = 157,103,161,446,400
  5. Step 5: Solve for x
    x = 157,103,161,446,400/5,790,464
  6. Step 6: Final answer
    x = 27,131,359.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.