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Finding the Third Proportional to 766,736,936 and 1,096,442,256

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Solution

The third proportional to 766,736,936 and 1,096,442,256 is: 1,567,924,491.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,736,936 : 1,096,442,256 = 1,096,442,256 : x
  2. Step 2: Convert to fraction form
    766,736,936/1,096,442,256 = 1,096,442,256/x
  3. Step 3: Cross multiply
    766,736,936x = 1,096,442,256 × 1,096,442,256
  4. Step 4: Simplify right side
    766,736,936x = 1,202,185,620,742,369,536
  5. Step 5: Solve for x
    x = 1,202,185,620,742,369,536/766,736,936
  6. Step 6: Final answer
    x = 1,567,924,491.83

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Why These Related Problems?

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