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Finding the Third Proportional to 117,483,640 and 254,492,811

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Solution

The third proportional to 117,483,640 and 254,492,811 is: 551,281,785.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,483,640 : 254,492,811 = 254,492,811 : x
  2. Step 2: Convert to fraction form
    117,483,640/254,492,811 = 254,492,811/x
  3. Step 3: Cross multiply
    117,483,640x = 254,492,811 × 254,492,811
  4. Step 4: Simplify right side
    117,483,640x = 64,766,590,850,681,720
  5. Step 5: Solve for x
    x = 64,766,590,850,681,720/117,483,640
  6. Step 6: Final answer
    x = 551,281,785.71

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Why These Related Problems?

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