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Finding the Third Proportional to 442,179,642 and 946,475,006

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Solution

The third proportional to 442,179,642 and 946,475,006 is: 2,025,907,237.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,179,642 : 946,475,006 = 946,475,006 : x
  2. Step 2: Convert to fraction form
    442,179,642/946,475,006 = 946,475,006/x
  3. Step 3: Cross multiply
    442,179,642x = 946,475,006 × 946,475,006
  4. Step 4: Simplify right side
    442,179,642x = 895,814,936,982,700,032
  5. Step 5: Solve for x
    x = 895,814,936,982,700,032/442,179,642
  6. Step 6: Final answer
    x = 2,025,907,237.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.