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Finding the Third Proportional to 6,977,708 and 14,783,950

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Solution

The third proportional to 6,977,708 and 14,783,950 is: 31,323,348.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977,708 : 14,783,950 = 14,783,950 : x
  2. Step 2: Convert to fraction form
    6,977,708/14,783,950 = 14,783,950/x
  3. Step 3: Cross multiply
    6,977,708x = 14,783,950 × 14,783,950
  4. Step 4: Simplify right side
    6,977,708x = 218,565,177,602,500
  5. Step 5: Solve for x
    x = 218,565,177,602,500/6,977,708
  6. Step 6: Final answer
    x = 31,323,348.24

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.