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Finding the Third Proportional to 3,686,266.13 and 8,081,123.63

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Solution

The third proportional to 3,686,266.13 and 8,081,123.63 is: 17,715,638.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686,266.13 : 8,081,123.63 = 8,081,123.63 : x
  2. Step 2: Convert to fraction form
    3,686,266.13/8,081,123.63 = 8,081,123.63/x
  3. Step 3: Cross multiply
    3,686,266.13x = 8,081,123.63 × 8,081,123.63
  4. Step 4: Simplify right side
    3,686,266.13x = 65,304,559,042,533.14
  5. Step 5: Solve for x
    x = 65,304,559,042,533.14/3,686,266.13
  6. Step 6: Final answer
    x = 17,715,638.76

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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.