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Finding the Third Proportional to 6,571,370 and 14,379,538

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Solution

The third proportional to 6,571,370 and 14,379,538 is: 31,465,449.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571,370 : 14,379,538 = 14,379,538 : x
  2. Step 2: Convert to fraction form
    6,571,370/14,379,538 = 14,379,538/x
  3. Step 3: Cross multiply
    6,571,370x = 14,379,538 × 14,379,538
  4. Step 4: Simplify right side
    6,571,370x = 206,771,113,093,444
  5. Step 5: Solve for x
    x = 206,771,113,093,444/6,571,370
  6. Step 6: Final answer
    x = 31,465,449.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.