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Finding the Third Proportional to 427,226,910 and 877,102,388

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Solution

The third proportional to 427,226,910 and 877,102,388 is: 1,800,702,579.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,226,910 : 877,102,388 = 877,102,388 : x
  2. Step 2: Convert to fraction form
    427,226,910/877,102,388 = 877,102,388/x
  3. Step 3: Cross multiply
    427,226,910x = 877,102,388 × 877,102,388
  4. Step 4: Simplify right side
    427,226,910x = 769,308,599,035,302,528
  5. Step 5: Solve for x
    x = 769,308,599,035,302,528/427,226,910
  6. Step 6: Final answer
    x = 1,800,702,579.89

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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.