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Finding the Third Proportional to 1,304,923,656 and 1,976,338,224

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Solution

The third proportional to 1,304,923,656 and 1,976,338,224 is: 2,993,211,716.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304,923,656 : 1,976,338,224 = 1,976,338,224 : x
  2. Step 2: Convert to fraction form
    1,304,923,656/1,976,338,224 = 1,976,338,224/x
  3. Step 3: Cross multiply
    1,304,923,656x = 1,976,338,224 × 1,976,338,224
  4. Step 4: Simplify right side
    1,304,923,656x = 3,905,912,775,643,473,920
  5. Step 5: Solve for x
    x = 3,905,912,775,643,473,920/1,304,923,656
  6. Step 6: Final answer
    x = 2,993,211,716.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.