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Finding the Third Proportional to 12,980,423.25 and 27,698,208.75

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Solution

The third proportional to 12,980,423.25 and 27,698,208.75 is: 59,103,678.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980,423.25 : 27,698,208.75 = 27,698,208.75 : x
  2. Step 2: Convert to fraction form
    12,980,423.25/27,698,208.75 = 27,698,208.75/x
  3. Step 3: Cross multiply
    12,980,423.25x = 27,698,208.75 × 27,698,208.75
  4. Step 4: Simplify right side
    12,980,423.25x = 767,190,767,958,576.50
  5. Step 5: Solve for x
    x = 767,190,767,958,576.50/12,980,423.25
  6. Step 6: Final answer
    x = 59,103,678.92

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.