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Finding the Third Proportional to 57,111,696 and 85,794,144

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Solution

The third proportional to 57,111,696 and 85,794,144 is: 128,881,396.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,111,696 : 85,794,144 = 85,794,144 : x
  2. Step 2: Convert to fraction form
    57,111,696/85,794,144 = 85,794,144/x
  3. Step 3: Cross multiply
    57,111,696x = 85,794,144 × 85,794,144
  4. Step 4: Simplify right side
    57,111,696x = 7,360,635,144,692,736
  5. Step 5: Solve for x
    x = 7,360,635,144,692,736/57,111,696
  6. Step 6: Final answer
    x = 128,881,396.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.