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Finding the Third Proportional to 1,180,732,848 and 2,733,468,918

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Solution

The third proportional to 1,180,732,848 and 2,733,468,918 is: 6,328,148,097.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180,732,848 : 2,733,468,918 = 2,733,468,918 : x
  2. Step 2: Convert to fraction form
    1,180,732,848/2,733,468,918 = 2,733,468,918/x
  3. Step 3: Cross multiply
    1,180,732,848x = 2,733,468,918 × 2,733,468,918
  4. Step 4: Simplify right side
    1,180,732,848x = 7,471,852,325,672,090,624
  5. Step 5: Solve for x
    x = 7,471,852,325,672,090,624/1,180,732,848
  6. Step 6: Final answer
    x = 6,328,148,097.45

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.