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Finding the Third Proportional to 6,551,728.50 and 13,943,680.50

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Solution

The third proportional to 6,551,728.50 and 13,943,680.50 is: 29,675,562.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551,728.50 : 13,943,680.50 = 13,943,680.50 : x
  2. Step 2: Convert to fraction form
    6,551,728.50/13,943,680.50 = 13,943,680.50/x
  3. Step 3: Cross multiply
    6,551,728.50x = 13,943,680.50 × 13,943,680.50
  4. Step 4: Simplify right side
    6,551,728.50x = 194,426,225,886,080.25
  5. Step 5: Solve for x
    x = 194,426,225,886,080.25/6,551,728.50
  6. Step 6: Final answer
    x = 29,675,562.09

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.