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Finding the Third Proportional to 927,509,517 and 2,000,290,698

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Solution

The third proportional to 927,509,517 and 2,000,290,698 is: 4,313,877,974.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,509,517 : 2,000,290,698 = 2,000,290,698 : x
  2. Step 2: Convert to fraction form
    927,509,517/2,000,290,698 = 2,000,290,698/x
  3. Step 3: Cross multiply
    927,509,517x = 2,000,290,698 × 2,000,290,698
  4. Step 4: Simplify right side
    927,509,517x = 4,001,162,876,505,327,104
  5. Step 5: Solve for x
    x = 4,001,162,876,505,327,104/927,509,517
  6. Step 6: Final answer
    x = 4,313,877,974.48

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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.