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Finding the Third Proportional to 1,423,009,296 and 2,126,143,737

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Solution

The third proportional to 1,423,009,296 and 2,126,143,737 is: 3,176,709,528.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423,009,296 : 2,126,143,737 = 2,126,143,737 : x
  2. Step 2: Convert to fraction form
    1,423,009,296/2,126,143,737 = 2,126,143,737/x
  3. Step 3: Cross multiply
    1,423,009,296x = 2,126,143,737 × 2,126,143,737
  4. Step 4: Simplify right side
    1,423,009,296x = 4,520,487,190,384,325,120
  5. Step 5: Solve for x
    x = 4,520,487,190,384,325,120/1,423,009,296
  6. Step 6: Final answer
    x = 3,176,709,528.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.