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Finding the Third Proportional to 246,613,470 and 536,640,672

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Solution

The third proportional to 246,613,470 and 536,640,672 is: 1,167,751,343.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,613,470 : 536,640,672 = 536,640,672 : x
  2. Step 2: Convert to fraction form
    246,613,470/536,640,672 = 536,640,672/x
  3. Step 3: Cross multiply
    246,613,470x = 536,640,672 × 536,640,672
  4. Step 4: Simplify right side
    246,613,470x = 287,983,210,844,611,584
  5. Step 5: Solve for x
    x = 287,983,210,844,611,584/246,613,470
  6. Step 6: Final answer
    x = 1,167,751,343.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.