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Finding the Third Proportional to 151,429,509,028 and 327,037,145,481

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Solution

The third proportional to 151,429,509,028 and 327,037,145,481 is: 706,290,968,060.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,429,509,028 : 327,037,145,481 = 327,037,145,481 : x
  2. Step 2: Convert to fraction form
    151,429,509,028/327,037,145,481 = 327,037,145,481/x
  3. Step 3: Cross multiply
    151,429,509,028x = 327,037,145,481 × 327,037,145,481
  4. Step 4: Simplify right side
    151,429,509,028x = 106,953,294,524,360,754,724,864
  5. Step 5: Solve for x
    x = 106,953,294,524,360,754,724,864/151,429,509,028
  6. Step 6: Final answer
    x = 706,290,968,060.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.