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Finding the Third Proportional to 38,106,402 and 57,245,733

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Solution

The third proportional to 38,106,402 and 57,245,733 is: 85,997,989.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,106,402 : 57,245,733 = 57,245,733 : x
  2. Step 2: Convert to fraction form
    38,106,402/57,245,733 = 57,245,733/x
  3. Step 3: Cross multiply
    38,106,402x = 57,245,733 × 57,245,733
  4. Step 4: Simplify right side
    38,106,402x = 3,277,073,946,707,289
  5. Step 5: Solve for x
    x = 3,277,073,946,707,289/38,106,402
  6. Step 6: Final answer
    x = 85,997,989.18

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