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Finding the Third Proportional to 540,230,400 and 1,099,552,896

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Solution

The third proportional to 540,230,400 and 1,099,552,896 is: 2,237,964,711.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,230,400 : 1,099,552,896 = 1,099,552,896 : x
  2. Step 2: Convert to fraction form
    540,230,400/1,099,552,896 = 1,099,552,896/x
  3. Step 3: Cross multiply
    540,230,400x = 1,099,552,896 × 1,099,552,896
  4. Step 4: Simplify right side
    540,230,400x = 1,209,016,571,101,986,816
  5. Step 5: Solve for x
    x = 1,209,016,571,101,986,816/540,230,400
  6. Step 6: Final answer
    x = 2,237,964,711.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.