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Finding the Third Proportional to 76,724,776 and 164,393,288

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Solution

The third proportional to 76,724,776 and 164,393,288 is: 352,235,021.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,724,776 : 164,393,288 = 164,393,288 : x
  2. Step 2: Convert to fraction form
    76,724,776/164,393,288 = 164,393,288/x
  3. Step 3: Cross multiply
    76,724,776x = 164,393,288 × 164,393,288
  4. Step 4: Simplify right side
    76,724,776x = 27,025,153,139,450,944
  5. Step 5: Solve for x
    x = 27,025,153,139,450,944/76,724,776
  6. Step 6: Final answer
    x = 352,235,021.70

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