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Finding the Third Proportional to 7,583,991.50 and 16,380,051.75

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Solution

The third proportional to 7,583,991.50 and 16,380,051.75 is: 35,377,953.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583,991.50 : 16,380,051.75 = 16,380,051.75 : x
  2. Step 2: Convert to fraction form
    7,583,991.50/16,380,051.75 = 16,380,051.75/x
  3. Step 3: Cross multiply
    7,583,991.50x = 16,380,051.75 × 16,380,051.75
  4. Step 4: Simplify right side
    7,583,991.50x = 268,306,095,332,678.06
  5. Step 5: Solve for x
    x = 268,306,095,332,678.06/7,583,991.50
  6. Step 6: Final answer
    x = 35,377,953.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.