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Finding the Third Proportional to 73,936,046 and 164,872,318

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Solution

The third proportional to 73,936,046 and 164,872,318 is: 367,653,975.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,936,046 : 164,872,318 = 164,872,318 : x
  2. Step 2: Convert to fraction form
    73,936,046/164,872,318 = 164,872,318/x
  3. Step 3: Cross multiply
    73,936,046x = 164,872,318 × 164,872,318
  4. Step 4: Simplify right side
    73,936,046x = 27,182,881,242,693,124
  5. Step 5: Solve for x
    x = 27,182,881,242,693,124/73,936,046
  6. Step 6: Final answer
    x = 367,653,975.47

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.