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Finding the Third Proportional to 1,110,009,813 and 2,468,200,296

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Solution

The third proportional to 1,110,009,813 and 2,468,200,296 is: 5,488,251,211.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110,009,813 : 2,468,200,296 = 2,468,200,296 : x
  2. Step 2: Convert to fraction form
    1,110,009,813/2,468,200,296 = 2,468,200,296/x
  3. Step 3: Cross multiply
    1,110,009,813x = 2,468,200,296 × 2,468,200,296
  4. Step 4: Simplify right side
    1,110,009,813x = 6,092,012,701,174,488,064
  5. Step 5: Solve for x
    x = 6,092,012,701,174,488,064/1,110,009,813
  6. Step 6: Final answer
    x = 5,488,251,211.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.