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Finding the Third Proportional to 7,231,509 and 10,588,495.50

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Solution

The third proportional to 7,231,509 and 10,588,495.50 is: 15,503,850.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231,509 : 10,588,495.50 = 10,588,495.50 : x
  2. Step 2: Convert to fraction form
    7,231,509/10,588,495.50 = 10,588,495.50/x
  3. Step 3: Cross multiply
    7,231,509x = 10,588,495.50 × 10,588,495.50
  4. Step 4: Simplify right side
    7,231,509x = 112,116,236,953,520.25
  5. Step 5: Solve for x
    x = 112,116,236,953,520.25/7,231,509
  6. Step 6: Final answer
    x = 15,503,850.85

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.