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Finding the Third Proportional to 2,289,257,531 and 4,958,828,043

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Solution

The third proportional to 2,289,257,531 and 4,958,828,043 is: 10,741,463,215.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289,257,531 : 4,958,828,043 = 4,958,828,043 : x
  2. Step 2: Convert to fraction form
    2,289,257,531/4,958,828,043 = 4,958,828,043/x
  3. Step 3: Cross multiply
    2,289,257,531x = 4,958,828,043 × 4,958,828,043
  4. Step 4: Simplify right side
    2,289,257,531x = 24,589,975,560,043,208,704
  5. Step 5: Solve for x
    x = 24,589,975,560,043,208,704/2,289,257,531
  6. Step 6: Final answer
    x = 10,741,463,215.50

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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.