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Finding the Third Proportional to 2,272,764,405,788 and 4,945,627,002,779

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Solution

The third proportional to 2,272,764,405,788 and 4,945,627,002,779 is: 10,761,883,804,730.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272,764,405,788 : 4,945,627,002,779 = 4,945,627,002,779 : x
  2. Step 2: Convert to fraction form
    2,272,764,405,788/4,945,627,002,779 = 4,945,627,002,779/x
  3. Step 3: Cross multiply
    2,272,764,405,788x = 4,945,627,002,779 × 4,945,627,002,779
  4. Step 4: Simplify right side
    2,272,764,405,788x = 24,459,226,450,616,793,071,353,856
  5. Step 5: Solve for x
    x = 24,459,226,450,616,793,071,353,856/2,272,764,405,788
  6. Step 6: Final answer
    x = 10,761,883,804,730.05

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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.