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Finding the Third Proportional to 681,928,123.50 and 997,383,018

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Solution

The third proportional to 681,928,123.50 and 997,383,018 is: 1,458,765,008.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,928,123.50 : 997,383,018 = 997,383,018 : x
  2. Step 2: Convert to fraction form
    681,928,123.50/997,383,018 = 997,383,018/x
  3. Step 3: Cross multiply
    681,928,123.50x = 997,383,018 × 997,383,018
  4. Step 4: Simplify right side
    681,928,123.50x = 994,772,884,594,788,352
  5. Step 5: Solve for x
    x = 994,772,884,594,788,352/681,928,123.50
  6. Step 6: Final answer
    x = 1,458,765,008.09

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.