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Finding the Third Proportional to 668,910,096 and 1,440,329,232

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Solution

The third proportional to 668,910,096 and 1,440,329,232 is: 3,101,385,834.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,910,096 : 1,440,329,232 = 1,440,329,232 : x
  2. Step 2: Convert to fraction form
    668,910,096/1,440,329,232 = 1,440,329,232/x
  3. Step 3: Cross multiply
    668,910,096x = 1,440,329,232 × 1,440,329,232
  4. Step 4: Simplify right side
    668,910,096x = 2,074,548,296,553,709,824
  5. Step 5: Solve for x
    x = 2,074,548,296,553,709,824/668,910,096
  6. Step 6: Final answer
    x = 3,101,385,834.90

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Why These Related Problems?

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