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Finding the Third Proportional to 254,662,967 and 545,629,997

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Solution

The third proportional to 254,662,967 and 545,629,997 is: 1,169,043,528.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,662,967 : 545,629,997 = 545,629,997 : x
  2. Step 2: Convert to fraction form
    254,662,967/545,629,997 = 545,629,997/x
  3. Step 3: Cross multiply
    254,662,967x = 545,629,997 × 545,629,997
  4. Step 4: Simplify right side
    254,662,967x = 297,712,093,626,220,032
  5. Step 5: Solve for x
    x = 297,712,093,626,220,032/254,662,967
  6. Step 6: Final answer
    x = 1,169,043,528.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.