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Finding the Third Proportional to 6,543,316.69 and 9,169,243.03

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Solution

The third proportional to 6,543,316.69 and 9,169,243.03 is: 12,848,991.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543,316.69 : 9,169,243.03 = 9,169,243.03 : x
  2. Step 2: Convert to fraction form
    6,543,316.69/9,169,243.03 = 9,169,243.03/x
  3. Step 3: Cross multiply
    6,543,316.69x = 9,169,243.03 × 9,169,243.03
  4. Step 4: Simplify right side
    6,543,316.69x = 84,075,017,766,126.69
  5. Step 5: Solve for x
    x = 84,075,017,766,126.69/6,543,316.69
  6. Step 6: Final answer
    x = 12,848,991.08

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.