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Finding the Third Proportional to 1,633,304,568 and 3,584,055,696

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Solution

The third proportional to 1,633,304,568 and 3,584,055,696 is: 7,864,702,936.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633,304,568 : 3,584,055,696 = 3,584,055,696 : x
  2. Step 2: Convert to fraction form
    1,633,304,568/3,584,055,696 = 3,584,055,696/x
  3. Step 3: Cross multiply
    1,633,304,568x = 3,584,055,696 × 3,584,055,696
  4. Step 4: Simplify right side
    1,633,304,568x = 12,845,455,232,030,044,160
  5. Step 5: Solve for x
    x = 12,845,455,232,030,044,160/1,633,304,568
  6. Step 6: Final answer
    x = 7,864,702,936.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.