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Finding the Third Proportional to 456,338,772 and 996,300,672

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Solution

The third proportional to 456,338,772 and 996,300,672 is: 2,175,171,363.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,338,772 : 996,300,672 = 996,300,672 : x
  2. Step 2: Convert to fraction form
    456,338,772/996,300,672 = 996,300,672/x
  3. Step 3: Cross multiply
    456,338,772x = 996,300,672 × 996,300,672
  4. Step 4: Simplify right side
    456,338,772x = 992,615,029,027,651,584
  5. Step 5: Solve for x
    x = 992,615,029,027,651,584/456,338,772
  6. Step 6: Final answer
    x = 2,175,171,363.76

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.