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Finding the Third Proportional to 246,193,886 and 533,242,270

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Solution

The third proportional to 246,193,886 and 533,242,270 is: 1,154,973,111.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,193,886 : 533,242,270 = 533,242,270 : x
  2. Step 2: Convert to fraction form
    246,193,886/533,242,270 = 533,242,270/x
  3. Step 3: Cross multiply
    246,193,886x = 533,242,270 × 533,242,270
  4. Step 4: Simplify right side
    246,193,886x = 284,347,318,514,752,896
  5. Step 5: Solve for x
    x = 284,347,318,514,752,896/246,193,886
  6. Step 6: Final answer
    x = 1,154,973,111.37

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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.