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Finding the Third Proportional to 10,009,228,854 and 21,568,544,987

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Solution

The third proportional to 10,009,228,854 and 21,568,544,987 is: 46,477,320,045.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009,228,854 : 21,568,544,987 = 21,568,544,987 : x
  2. Step 2: Convert to fraction form
    10,009,228,854/21,568,544,987 = 21,568,544,987/x
  3. Step 3: Cross multiply
    10,009,228,854x = 21,568,544,987 × 21,568,544,987
  4. Step 4: Simplify right side
    10,009,228,854x = 465,202,132,856,242,831,360
  5. Step 5: Solve for x
    x = 465,202,132,856,242,831,360/10,009,228,854
  6. Step 6: Final answer
    x = 46,477,320,045.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.