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Finding the Third Proportional to 54,544,765 and 121,197,005

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Solution

The third proportional to 54,544,765 and 121,197,005 is: 269,296,494.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,544,765 : 121,197,005 = 121,197,005 : x
  2. Step 2: Convert to fraction form
    54,544,765/121,197,005 = 121,197,005/x
  3. Step 3: Cross multiply
    54,544,765x = 121,197,005 × 121,197,005
  4. Step 4: Simplify right side
    54,544,765x = 14,688,714,020,970,024
  5. Step 5: Solve for x
    x = 14,688,714,020,970,024/54,544,765
  6. Step 6: Final answer
    x = 269,296,494.74

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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.