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Finding the Third Proportional to 672,282,048 and 1,462,354,944

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Solution

The third proportional to 672,282,048 and 1,462,354,944 is: 3,180,929,772.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,282,048 : 1,462,354,944 = 1,462,354,944 : x
  2. Step 2: Convert to fraction form
    672,282,048/1,462,354,944 = 1,462,354,944/x
  3. Step 3: Cross multiply
    672,282,048x = 1,462,354,944 × 1,462,354,944
  4. Step 4: Simplify right side
    672,282,048x = 2,138,481,982,241,243,136
  5. Step 5: Solve for x
    x = 2,138,481,982,241,243,136/672,282,048
  6. Step 6: Final answer
    x = 3,180,929,772.86

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Why These Related Problems?

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