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Finding the Third Proportional to 6,977,710 and 14,783,954

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Solution

The third proportional to 6,977,710 and 14,783,954 is: 31,323,356.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977,710 : 14,783,954 = 14,783,954 : x
  2. Step 2: Convert to fraction form
    6,977,710/14,783,954 = 14,783,954/x
  3. Step 3: Cross multiply
    6,977,710x = 14,783,954 × 14,783,954
  4. Step 4: Simplify right side
    6,977,710x = 218,565,295,874,116
  5. Step 5: Solve for x
    x = 218,565,295,874,116/6,977,710
  6. Step 6: Final answer
    x = 31,323,356.21

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Why These Related Problems?

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