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Finding the Third Proportional to 71,383,634 and 96,313,284

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Solution

The third proportional to 71,383,634 and 96,313,284 is: 129,949,235.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,383,634 : 96,313,284 = 96,313,284 : x
  2. Step 2: Convert to fraction form
    71,383,634/96,313,284 = 96,313,284/x
  3. Step 3: Cross multiply
    71,383,634x = 96,313,284 × 96,313,284
  4. Step 4: Simplify right side
    71,383,634x = 9,276,248,674,864,656
  5. Step 5: Solve for x
    x = 9,276,248,674,864,656/71,383,634
  6. Step 6: Final answer
    x = 129,949,235.63

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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.