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Finding the Third Proportional to 76,724,334 and 164,392,416

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Solution

The third proportional to 76,724,334 and 164,392,416 is: 352,233,314.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,724,334 : 164,392,416 = 164,392,416 : x
  2. Step 2: Convert to fraction form
    76,724,334/164,392,416 = 164,392,416/x
  3. Step 3: Cross multiply
    76,724,334x = 164,392,416 × 164,392,416
  4. Step 4: Simplify right side
    76,724,334x = 27,024,866,438,317,056
  5. Step 5: Solve for x
    x = 27,024,866,438,317,056/76,724,334
  6. Step 6: Final answer
    x = 352,233,314.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.