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Finding the Third Proportional to 5,773,450.50 and 8,071,624.13

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Solution

The third proportional to 5,773,450.50 and 8,071,624.13 is: 11,284,606.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773,450.50 : 8,071,624.13 = 8,071,624.13 : x
  2. Step 2: Convert to fraction form
    5,773,450.50/8,071,624.13 = 8,071,624.13/x
  3. Step 3: Cross multiply
    5,773,450.50x = 8,071,624.13 × 8,071,624.13
  4. Step 4: Simplify right side
    5,773,450.50x = 65,151,116,015,282.02
  5. Step 5: Solve for x
    x = 65,151,116,015,282.02/5,773,450.50
  6. Step 6: Final answer
    x = 11,284,606.32

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Why These Related Problems?

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