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Finding the Third Proportional to 450,813,412.69 and 689,627,626.31

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Solution

The third proportional to 450,813,412.69 and 689,627,626.31 is: 1,054,951,449.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,813,412.69 : 689,627,626.31 = 689,627,626.31 : x
  2. Step 2: Convert to fraction form
    450,813,412.69/689,627,626.31 = 689,627,626.31/x
  3. Step 3: Cross multiply
    450,813,412.69x = 689,627,626.31 × 689,627,626.31
  4. Step 4: Simplify right side
    450,813,412.69x = 475,586,262,973,413,120
  5. Step 5: Solve for x
    x = 475,586,262,973,413,120/450,813,412.69
  6. Step 6: Final answer
    x = 1,054,951,449.07

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