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Finding the Third Proportional to 61,071,276 and 131,707,668

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Solution

The third proportional to 61,071,276 and 131,707,668 is: 284,043,677.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,071,276 : 131,707,668 = 131,707,668 : x
  2. Step 2: Convert to fraction form
    61,071,276/131,707,668 = 131,707,668/x
  3. Step 3: Cross multiply
    61,071,276x = 131,707,668 × 131,707,668
  4. Step 4: Simplify right side
    61,071,276x = 17,346,909,809,998,224
  5. Step 5: Solve for x
    x = 17,346,909,809,998,224/61,071,276
  6. Step 6: Final answer
    x = 284,043,677.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.