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Finding the Third Proportional to 982,083,160 and 2,127,628,372

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Solution

The third proportional to 982,083,160 and 2,127,628,372 is: 4,609,388,159.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,083,160 : 2,127,628,372 = 2,127,628,372 : x
  2. Step 2: Convert to fraction form
    982,083,160/2,127,628,372 = 2,127,628,372/x
  3. Step 3: Cross multiply
    982,083,160x = 2,127,628,372 × 2,127,628,372
  4. Step 4: Simplify right side
    982,083,160x = 4,526,802,489,339,370,496
  5. Step 5: Solve for x
    x = 4,526,802,489,339,370,496/982,083,160
  6. Step 6: Final answer
    x = 4,609,388,159.49

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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.