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Finding the Third Proportional to 76,724,737 and 164,393,210

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Solution

The third proportional to 76,724,737 and 164,393,210 is: 352,234,866.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,724,737 : 164,393,210 = 164,393,210 : x
  2. Step 2: Convert to fraction form
    76,724,737/164,393,210 = 164,393,210/x
  3. Step 3: Cross multiply
    76,724,737x = 164,393,210 × 164,393,210
  4. Step 4: Simplify right side
    76,724,737x = 27,025,127,494,104,100
  5. Step 5: Solve for x
    x = 27,025,127,494,104,100/76,724,737
  6. Step 6: Final answer
    x = 352,234,866.50

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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.