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Finding the Third Proportional to 35,416,668 and 77,394,232

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Solution

The third proportional to 35,416,668 and 77,394,232 is: 169,125,654.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,416,668 : 77,394,232 = 77,394,232 : x
  2. Step 2: Convert to fraction form
    35,416,668/77,394,232 = 77,394,232/x
  3. Step 3: Cross multiply
    35,416,668x = 77,394,232 × 77,394,232
  4. Step 4: Simplify right side
    35,416,668x = 5,989,867,146,869,824
  5. Step 5: Solve for x
    x = 5,989,867,146,869,824/35,416,668
  6. Step 6: Final answer
    x = 169,125,654.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.