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Finding the Third Proportional to 835,438,648 and 1,809,725,552

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Solution

The third proportional to 835,438,648 and 1,809,725,552 is: 3,920,223,922.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,438,648 : 1,809,725,552 = 1,809,725,552 : x
  2. Step 2: Convert to fraction form
    835,438,648/1,809,725,552 = 1,809,725,552/x
  3. Step 3: Cross multiply
    835,438,648x = 1,809,725,552 × 1,809,725,552
  4. Step 4: Simplify right side
    835,438,648x = 3,275,106,573,561,704,448
  5. Step 5: Solve for x
    x = 3,275,106,573,561,704,448/835,438,648
  6. Step 6: Final answer
    x = 3,920,223,922.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.