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Finding the Third Proportional to 427,226,912 and 877,102,392

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Solution

The third proportional to 427,226,912 and 877,102,392 is: 1,800,702,587.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,226,912 : 877,102,392 = 877,102,392 : x
  2. Step 2: Convert to fraction form
    427,226,912/877,102,392 = 877,102,392/x
  3. Step 3: Cross multiply
    427,226,912x = 877,102,392 × 877,102,392
  4. Step 4: Simplify right side
    427,226,912x = 769,308,606,052,121,600
  5. Step 5: Solve for x
    x = 769,308,606,052,121,600/427,226,912
  6. Step 6: Final answer
    x = 1,800,702,587.88

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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.