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Finding the Third Proportional to 442,179,564.19 and 946,474,849.69

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Solution

The third proportional to 442,179,564.19 and 946,474,849.69 is: 2,025,906,924.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,179,564.19 : 946,474,849.69 = 946,474,849.69 : x
  2. Step 2: Convert to fraction form
    442,179,564.19/946,474,849.69 = 946,474,849.69/x
  3. Step 3: Cross multiply
    442,179,564.19x = 946,474,849.69 × 946,474,849.69
  4. Step 4: Simplify right side
    442,179,564.19x = 895,814,641,090,975,744
  5. Step 5: Solve for x
    x = 895,814,641,090,975,744/442,179,564.19
  6. Step 6: Final answer
    x = 2,025,906,924.80

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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.