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Finding the Third Proportional to 1,387,694,684 and 3,029,681,288

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Solution

The third proportional to 1,387,694,684 and 3,029,681,288 is: 6,614,544,836.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387,694,684 : 3,029,681,288 = 3,029,681,288 : x
  2. Step 2: Convert to fraction form
    1,387,694,684/3,029,681,288 = 3,029,681,288/x
  3. Step 3: Cross multiply
    1,387,694,684x = 3,029,681,288 × 3,029,681,288
  4. Step 4: Simplify right side
    1,387,694,684x = 9,178,968,706,857,338,880
  5. Step 5: Solve for x
    x = 9,178,968,706,857,338,880/1,387,694,684
  6. Step 6: Final answer
    x = 6,614,544,836.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.