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Finding the Third Proportional to 82,984,794 and 121,786,672

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Solution

The third proportional to 82,984,794 and 121,786,672 is: 178,731,461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,984,794 : 121,786,672 = 121,786,672 : x
  2. Step 2: Convert to fraction form
    82,984,794/121,786,672 = 121,786,672/x
  3. Step 3: Cross multiply
    82,984,794x = 121,786,672 × 121,786,672
  4. Step 4: Simplify right side
    82,984,794x = 14,831,993,476,835,584
  5. Step 5: Solve for x
    x = 14,831,993,476,835,584/82,984,794
  6. Step 6: Final answer
    x = 178,731,461.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.