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Finding the Third Proportional to 273,774,789 and 417,557,799

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Solution

The third proportional to 273,774,789 and 417,557,799 is: 636,853,802.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,774,789 : 417,557,799 = 417,557,799 : x
  2. Step 2: Convert to fraction form
    273,774,789/417,557,799 = 417,557,799/x
  3. Step 3: Cross multiply
    273,774,789x = 417,557,799 × 417,557,799
  4. Step 4: Simplify right side
    273,774,789x = 174,354,515,505,724,416
  5. Step 5: Solve for x
    x = 174,354,515,505,724,416/273,774,789
  6. Step 6: Final answer
    x = 636,853,802.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.