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Finding the Third Proportional to 246,108,686 and 380,953,714

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Solution

The third proportional to 246,108,686 and 380,953,714 is: 589,681,471.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,108,686 : 380,953,714 = 380,953,714 : x
  2. Step 2: Convert to fraction form
    246,108,686/380,953,714 = 380,953,714/x
  3. Step 3: Cross multiply
    246,108,686x = 380,953,714 × 380,953,714
  4. Step 4: Simplify right side
    246,108,686x = 145,125,732,210,393,792
  5. Step 5: Solve for x
    x = 145,125,732,210,393,792/246,108,686
  6. Step 6: Final answer
    x = 589,681,471.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.