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Finding the Third Proportional to 303,074,100 and 653,454,864

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Solution

The third proportional to 303,074,100 and 653,454,864 is: 1,408,907,126.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,074,100 : 653,454,864 = 653,454,864 : x
  2. Step 2: Convert to fraction form
    303,074,100/653,454,864 = 653,454,864/x
  3. Step 3: Cross multiply
    303,074,100x = 653,454,864 × 653,454,864
  4. Step 4: Simplify right side
    303,074,100x = 427,003,259,285,258,496
  5. Step 5: Solve for x
    x = 427,003,259,285,258,496/303,074,100
  6. Step 6: Final answer
    x = 1,408,907,126.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.