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Finding the Third Proportional to 151,539,786 and 327,329,028

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Solution

The third proportional to 151,539,786 and 327,329,028 is: 707,037,375.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,539,786 : 327,329,028 = 327,329,028 : x
  2. Step 2: Convert to fraction form
    151,539,786/327,329,028 = 327,329,028/x
  3. Step 3: Cross multiply
    151,539,786x = 327,329,028 × 327,329,028
  4. Step 4: Simplify right side
    151,539,786x = 107,144,292,571,424,784
  5. Step 5: Solve for x
    x = 107,144,292,571,424,784/151,539,786
  6. Step 6: Final answer
    x = 707,037,375.46

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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.