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Finding the Third Proportional to 151,429,509,036 and 327,037,145,496

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Solution

The third proportional to 151,429,509,036 and 327,037,145,496 is: 706,290,968,088.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,429,509,036 : 327,037,145,496 = 327,037,145,496 : x
  2. Step 2: Convert to fraction form
    151,429,509,036/327,037,145,496 = 327,037,145,496/x
  3. Step 3: Cross multiply
    151,429,509,036x = 327,037,145,496 × 327,037,145,496
  4. Step 4: Simplify right side
    151,429,509,036x = 106,953,294,534,171,869,315,072
  5. Step 5: Solve for x
    x = 106,953,294,534,171,869,315,072/151,429,509,036
  6. Step 6: Final answer
    x = 706,290,968,088.30

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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.