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Finding the Third Proportional to 512,333,560 and 1,102,477,664

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Solution

The third proportional to 512,333,560 and 1,102,477,664 is: 2,372,393,874.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,333,560 : 1,102,477,664 = 1,102,477,664 : x
  2. Step 2: Convert to fraction form
    512,333,560/1,102,477,664 = 1,102,477,664/x
  3. Step 3: Cross multiply
    512,333,560x = 1,102,477,664 × 1,102,477,664
  4. Step 4: Simplify right side
    512,333,560x = 1,215,456,999,618,896,896
  5. Step 5: Solve for x
    x = 1,215,456,999,618,896,896/512,333,560
  6. Step 6: Final answer
    x = 2,372,393,874.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.