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Finding the Third Proportional to 766,736,448 and 1,096,442,100

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Solution

The third proportional to 766,736,448 and 1,096,442,100 is: 1,567,925,043.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,736,448 : 1,096,442,100 = 1,096,442,100 : x
  2. Step 2: Convert to fraction form
    766,736,448/1,096,442,100 = 1,096,442,100/x
  3. Step 3: Cross multiply
    766,736,448x = 1,096,442,100 × 1,096,442,100
  4. Step 4: Simplify right side
    766,736,448x = 1,202,185,278,652,410,112
  5. Step 5: Solve for x
    x = 1,202,185,278,652,410,112/766,736,448
  6. Step 6: Final answer
    x = 1,567,925,043.59

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.