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Finding the Third Proportional to 7,983,338 and 12,509,080

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Solution

The third proportional to 7,983,338 and 12,509,080 is: 19,600,458.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983,338 : 12,509,080 = 12,509,080 : x
  2. Step 2: Convert to fraction form
    7,983,338/12,509,080 = 12,509,080/x
  3. Step 3: Cross multiply
    7,983,338x = 12,509,080 × 12,509,080
  4. Step 4: Simplify right side
    7,983,338x = 156,477,082,446,400
  5. Step 5: Solve for x
    x = 156,477,082,446,400/7,983,338
  6. Step 6: Final answer
    x = 19,600,458.16

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Why These Related Problems?

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