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Finding the Third Proportional to 270,354,972 and 555,042,144

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Solution

The third proportional to 270,354,972 and 555,042,144 is: 1,139,508,474.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,354,972 : 555,042,144 = 555,042,144 : x
  2. Step 2: Convert to fraction form
    270,354,972/555,042,144 = 555,042,144/x
  3. Step 3: Cross multiply
    270,354,972x = 555,042,144 × 555,042,144
  4. Step 4: Simplify right side
    270,354,972x = 308,071,781,616,116,736
  5. Step 5: Solve for x
    x = 308,071,781,616,116,736/270,354,972
  6. Step 6: Final answer
    x = 1,139,508,474.13

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.