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Finding the Third Proportional to 6,648,709.50 and 14,558,575.50

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Solution

The third proportional to 6,648,709.50 and 14,558,575.50 is: 31,878,685.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648,709.50 : 14,558,575.50 = 14,558,575.50 : x
  2. Step 2: Convert to fraction form
    6,648,709.50/14,558,575.50 = 14,558,575.50/x
  3. Step 3: Cross multiply
    6,648,709.50x = 14,558,575.50 × 14,558,575.50
  4. Step 4: Simplify right side
    6,648,709.50x = 211,952,120,589,200.25
  5. Step 5: Solve for x
    x = 211,952,120,589,200.25/6,648,709.50
  6. Step 6: Final answer
    x = 31,878,685.72

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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.