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Finding the Third Proportional to 427,226,942 and 877,102,456

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Solution

The third proportional to 427,226,942 and 877,102,456 is: 1,800,702,724.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,226,942 : 877,102,456 = 877,102,456 : x
  2. Step 2: Convert to fraction form
    427,226,942/877,102,456 = 877,102,456/x
  3. Step 3: Cross multiply
    427,226,942x = 877,102,456 × 877,102,456
  4. Step 4: Simplify right side
    427,226,942x = 769,308,718,321,231,872
  5. Step 5: Solve for x
    x = 769,308,718,321,231,872/427,226,942
  6. Step 6: Final answer
    x = 1,800,702,724.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.