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Finding the Third Proportional to 765,388,344,568 and 1,639,948,884,256

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Solution

The third proportional to 765,388,344,568 and 1,639,948,884,256 is: 3,513,814,081,517.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,388,344,568 : 1,639,948,884,256 = 1,639,948,884,256 : x
  2. Step 2: Convert to fraction form
    765,388,344,568/1,639,948,884,256 = 1,639,948,884,256/x
  3. Step 3: Cross multiply
    765,388,344,568x = 1,639,948,884,256 × 1,639,948,884,256
  4. Step 4: Simplify right side
    765,388,344,568x = 2,689,432,342,972,499,100,696,576
  5. Step 5: Solve for x
    x = 2,689,432,342,972,499,100,696,576/765,388,344,568
  6. Step 6: Final answer
    x = 3,513,814,081,517.62

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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.