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Finding the Third Proportional to 54,544,761 and 121,196,997

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Solution

The third proportional to 54,544,761 and 121,196,997 is: 269,296,478.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,544,761 : 121,196,997 = 121,196,997 : x
  2. Step 2: Convert to fraction form
    54,544,761/121,196,997 = 121,196,997/x
  3. Step 3: Cross multiply
    54,544,761x = 121,196,997 × 121,196,997
  4. Step 4: Simplify right side
    54,544,761x = 14,688,712,081,818,008
  5. Step 5: Solve for x
    x = 14,688,712,081,818,008/54,544,761
  6. Step 6: Final answer
    x = 269,296,478.94

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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.