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Finding the Third Proportional to 6,713,644.50 and 14,684,125.50

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Solution

The third proportional to 6,713,644.50 and 14,684,125.50 is: 32,117,211.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713,644.50 : 14,684,125.50 = 14,684,125.50 : x
  2. Step 2: Convert to fraction form
    6,713,644.50/14,684,125.50 = 14,684,125.50/x
  3. Step 3: Cross multiply
    6,713,644.50x = 14,684,125.50 × 14,684,125.50
  4. Step 4: Simplify right side
    6,713,644.50x = 215,623,541,699,750.25
  5. Step 5: Solve for x
    x = 215,623,541,699,750.25/6,713,644.50
  6. Step 6: Final answer
    x = 32,117,211.70

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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.