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Finding the Third Proportional to 5,848,476.75 and 13,041,707.06

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Solution

The third proportional to 5,848,476.75 and 13,041,707.06 is: 29,082,123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848,476.75 : 13,041,707.06 = 13,041,707.06 : x
  2. Step 2: Convert to fraction form
    5,848,476.75/13,041,707.06 = 13,041,707.06/x
  3. Step 3: Cross multiply
    5,848,476.75x = 13,041,707.06 × 13,041,707.06
  4. Step 4: Simplify right side
    5,848,476.75x = 170,086,123,104,062.38
  5. Step 5: Solve for x
    x = 170,086,123,104,062.38/5,848,476.75
  6. Step 6: Final answer
    x = 29,082,123.50

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.