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Finding the Third Proportional to 57,111,692 and 85,794,141

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Solution

The third proportional to 57,111,692 and 85,794,141 is: 128,881,396.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,111,692 : 85,794,141 = 85,794,141 : x
  2. Step 2: Convert to fraction form
    57,111,692/85,794,141 = 85,794,141/x
  3. Step 3: Cross multiply
    57,111,692x = 85,794,141 × 85,794,141
  4. Step 4: Simplify right side
    57,111,692x = 7,360,634,629,927,881
  5. Step 5: Solve for x
    x = 7,360,634,629,927,881/57,111,692
  6. Step 6: Final answer
    x = 128,881,396.65

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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.