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Finding the Third Proportional to 246,291,735 and 535,451,910

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Solution

The third proportional to 246,291,735 and 535,451,910 is: 1,164,102,189.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,291,735 : 535,451,910 = 535,451,910 : x
  2. Step 2: Convert to fraction form
    246,291,735/535,451,910 = 535,451,910/x
  3. Step 3: Cross multiply
    246,291,735x = 535,451,910 × 535,451,910
  4. Step 4: Simplify right side
    246,291,735x = 286,708,747,922,648,096
  5. Step 5: Solve for x
    x = 286,708,747,922,648,096/246,291,735
  6. Step 6: Final answer
    x = 1,164,102,189.31

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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.