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Finding the Third Proportional to 5,280,494,743 and 11,190,547,782

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Solution

The third proportional to 5,280,494,743 and 11,190,547,782 is: 23,715,270,207.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280,494,743 : 11,190,547,782 = 11,190,547,782 : x
  2. Step 2: Convert to fraction form
    5,280,494,743/11,190,547,782 = 11,190,547,782/x
  3. Step 3: Cross multiply
    5,280,494,743x = 11,190,547,782 × 11,190,547,782
  4. Step 4: Simplify right side
    5,280,494,743x = 125,228,359,661,225,115,648
  5. Step 5: Solve for x
    x = 125,228,359,661,225,115,648/5,280,494,743
  6. Step 6: Final answer
    x = 23,715,270,207.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.