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Finding the Third Proportional to 31,432,946 and 68,709,285

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Solution

The third proportional to 31,432,946 and 68,709,285 is: 150,191,644.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,432,946 : 68,709,285 = 68,709,285 : x
  2. Step 2: Convert to fraction form
    31,432,946/68,709,285 = 68,709,285/x
  3. Step 3: Cross multiply
    31,432,946x = 68,709,285 × 68,709,285
  4. Step 4: Simplify right side
    31,432,946x = 4,720,965,845,211,225
  5. Step 5: Solve for x
    x = 4,720,965,845,211,225/31,432,946
  6. Step 6: Final answer
    x = 150,191,644.31

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