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Finding the Third Proportional to 682,315,077 and 1,473,573,390

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Solution

The third proportional to 682,315,077 and 1,473,573,390 is: 3,182,427,897.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,315,077 : 1,473,573,390 = 1,473,573,390 : x
  2. Step 2: Convert to fraction form
    682,315,077/1,473,573,390 = 1,473,573,390/x
  3. Step 3: Cross multiply
    682,315,077x = 1,473,573,390 × 1,473,573,390
  4. Step 4: Simplify right side
    682,315,077x = 2,171,418,535,716,092,160
  5. Step 5: Solve for x
    x = 2,171,418,535,716,092,160/682,315,077
  6. Step 6: Final answer
    x = 3,182,427,897.19

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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.