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Finding the Third Proportional to 31,588,137 and 68,989,558.50

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Solution

The third proportional to 31,588,137 and 68,989,558.50 is: 150,675,526.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,588,137 : 68,989,558.50 = 68,989,558.50 : x
  2. Step 2: Convert to fraction form
    31,588,137/68,989,558.50 = 68,989,558.50/x
  3. Step 3: Cross multiply
    31,588,137x = 68,989,558.50 × 68,989,558.50
  4. Step 4: Simplify right side
    31,588,137x = 4,759,559,182,024,922
  5. Step 5: Solve for x
    x = 4,759,559,182,024,922/31,588,137
  6. Step 6: Final answer
    x = 150,675,526.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.