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Finding the Third Proportional to 16,382,850 and 27,301,474.50

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Solution

The third proportional to 16,382,850 and 27,301,474.50 is: 45,496,998.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382,850 : 27,301,474.50 = 27,301,474.50 : x
  2. Step 2: Convert to fraction form
    16,382,850/27,301,474.50 = 27,301,474.50/x
  3. Step 3: Cross multiply
    16,382,850x = 27,301,474.50 × 27,301,474.50
  4. Step 4: Simplify right side
    16,382,850x = 745,370,509,874,150.25
  5. Step 5: Solve for x
    x = 745,370,509,874,150.25/16,382,850
  6. Step 6: Final answer
    x = 45,496,998.99

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.