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Finding the Third Proportional to 132,700,499,001 and 292,449,586,554

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Solution

The third proportional to 132,700,499,001 and 292,449,586,554 is: 644,509,714,126.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,700,499,001 : 292,449,586,554 = 292,449,586,554 : x
  2. Step 2: Convert to fraction form
    132,700,499,001/292,449,586,554 = 292,449,586,554/x
  3. Step 3: Cross multiply
    132,700,499,001x = 292,449,586,554 × 292,449,586,554
  4. Step 4: Simplify right side
    132,700,499,001x = 85,526,760,675,605,538,144,256
  5. Step 5: Solve for x
    x = 85,526,760,675,605,538,144,256/132,700,499,001
  6. Step 6: Final answer
    x = 644,509,714,126.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.