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Finding the Third Proportional to 71,383,635 and 96,313,283

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Solution

The third proportional to 71,383,635 and 96,313,283 is: 129,949,231.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,383,635 : 96,313,283 = 96,313,283 : x
  2. Step 2: Convert to fraction form
    71,383,635/96,313,283 = 96,313,283/x
  3. Step 3: Cross multiply
    71,383,635x = 96,313,283 × 96,313,283
  4. Step 4: Simplify right side
    71,383,635x = 9,276,248,482,238,088
  5. Step 5: Solve for x
    x = 9,276,248,482,238,088/71,383,635
  6. Step 6: Final answer
    x = 129,949,231.11

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.