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Finding the Third Proportional to 6,306,576 and 13,833,984

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Solution

The third proportional to 6,306,576 and 13,833,984 is: 30,345,961.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306,576 : 13,833,984 = 13,833,984 : x
  2. Step 2: Convert to fraction form
    6,306,576/13,833,984 = 13,833,984/x
  3. Step 3: Cross multiply
    6,306,576x = 13,833,984 × 13,833,984
  4. Step 4: Simplify right side
    6,306,576x = 191,379,113,312,256
  5. Step 5: Solve for x
    x = 191,379,113,312,256/6,306,576
  6. Step 6: Final answer
    x = 30,345,961.63

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