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Finding the Third Proportional to 6,701,475.75 and 14,631,909

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Solution

The third proportional to 6,701,475.75 and 14,631,909 is: 31,947,106.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701,475.75 : 14,631,909 = 14,631,909 : x
  2. Step 2: Convert to fraction form
    6,701,475.75/14,631,909 = 14,631,909/x
  3. Step 3: Cross multiply
    6,701,475.75x = 14,631,909 × 14,631,909
  4. Step 4: Simplify right side
    6,701,475.75x = 214,092,760,984,281
  5. Step 5: Solve for x
    x = 214,092,760,984,281/6,701,475.75
  6. Step 6: Final answer
    x = 31,947,106.72

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.