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Finding the Third Proportional to 1,678,005,539 and 2,333,132,576

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Solution

The third proportional to 1,678,005,539 and 2,333,132,576 is: 3,244,034,355.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678,005,539 : 2,333,132,576 = 2,333,132,576 : x
  2. Step 2: Convert to fraction form
    1,678,005,539/2,333,132,576 = 2,333,132,576/x
  3. Step 3: Cross multiply
    1,678,005,539x = 2,333,132,576 × 2,333,132,576
  4. Step 4: Simplify right side
    1,678,005,539x = 5,443,507,617,192,395,776
  5. Step 5: Solve for x
    x = 5,443,507,617,192,395,776/1,678,005,539
  6. Step 6: Final answer
    x = 3,244,034,355.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.