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Finding the Third Proportional to 682,315,110 and 1,473,573,411

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Solution

The third proportional to 682,315,110 and 1,473,573,411 is: 3,182,427,833.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,315,110 : 1,473,573,411 = 1,473,573,411 : x
  2. Step 2: Convert to fraction form
    682,315,110/1,473,573,411 = 1,473,573,411/x
  3. Step 3: Cross multiply
    682,315,110x = 1,473,573,411 × 1,473,573,411
  4. Step 4: Simplify right side
    682,315,110x = 2,171,418,597,606,174,976
  5. Step 5: Solve for x
    x = 2,171,418,597,606,174,976/682,315,110
  6. Step 6: Final answer
    x = 3,182,427,833.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.