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Finding the Third Proportional to 272,260,905.75 and 411,632,766

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Solution

The third proportional to 272,260,905.75 and 411,632,766 is: 622,349,850.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,260,905.75 : 411,632,766 = 411,632,766 : x
  2. Step 2: Convert to fraction form
    272,260,905.75/411,632,766 = 411,632,766/x
  3. Step 3: Cross multiply
    272,260,905.75x = 411,632,766 × 411,632,766
  4. Step 4: Simplify right side
    272,260,905.75x = 169,441,534,044,810,752
  5. Step 5: Solve for x
    x = 169,441,534,044,810,752/272,260,905.75
  6. Step 6: Final answer
    x = 622,349,850.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.