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Finding the Third Proportional to 6,577,990 and 15,847,117

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Solution

The third proportional to 6,577,990 and 15,847,117 is: 38,177,485.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577,990 : 15,847,117 = 15,847,117 : x
  2. Step 2: Convert to fraction form
    6,577,990/15,847,117 = 15,847,117/x
  3. Step 3: Cross multiply
    6,577,990x = 15,847,117 × 15,847,117
  4. Step 4: Simplify right side
    6,577,990x = 251,131,117,211,689
  5. Step 5: Solve for x
    x = 251,131,117,211,689/6,577,990
  6. Step 6: Final answer
    x = 38,177,485.40

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.