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Finding the Third Proportional to 6,442,051.50 and 14,017,630.50

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Solution

The third proportional to 6,442,051.50 and 14,017,630.50 is: 30,501,768.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442,051.50 : 14,017,630.50 = 14,017,630.50 : x
  2. Step 2: Convert to fraction form
    6,442,051.50/14,017,630.50 = 14,017,630.50/x
  3. Step 3: Cross multiply
    6,442,051.50x = 14,017,630.50 × 14,017,630.50
  4. Step 4: Simplify right side
    6,442,051.50x = 196,493,964,834,530.25
  5. Step 5: Solve for x
    x = 196,493,964,834,530.25/6,442,051.50
  6. Step 6: Final answer
    x = 30,501,768.70

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