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Finding the Third Proportional to 282,305,350.50 and 611,510,368.50

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Solution

The third proportional to 282,305,350.50 and 611,510,368.50 is: 1,324,611,560.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,305,350.50 : 611,510,368.50 = 611,510,368.50 : x
  2. Step 2: Convert to fraction form
    282,305,350.50/611,510,368.50 = 611,510,368.50/x
  3. Step 3: Cross multiply
    282,305,350.50x = 611,510,368.50 × 611,510,368.50
  4. Step 4: Simplify right side
    282,305,350.50x = 373,944,930,783,005,824
  5. Step 5: Solve for x
    x = 373,944,930,783,005,824/282,305,350.50
  6. Step 6: Final answer
    x = 1,324,611,560.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.