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Finding the Third Proportional to 254,741,024 and 552,732,160

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Solution

The third proportional to 254,741,024 and 552,732,160 is: 1,199,307,578.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,741,024 : 552,732,160 = 552,732,160 : x
  2. Step 2: Convert to fraction form
    254,741,024/552,732,160 = 552,732,160/x
  3. Step 3: Cross multiply
    254,741,024x = 552,732,160 × 552,732,160
  4. Step 4: Simplify right side
    254,741,024x = 305,512,840,698,265,600
  5. Step 5: Solve for x
    x = 305,512,840,698,265,600/254,741,024
  6. Step 6: Final answer
    x = 1,199,307,578.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.