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Finding the Third Proportional to 7,721,257.50 and 16,468,474.50

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Solution

The third proportional to 7,721,257.50 and 16,468,474.50 is: 35,125,192.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,721,257.50 : 16,468,474.50 = 16,468,474.50 : x
  2. Step 2: Convert to fraction form
    7,721,257.50/16,468,474.50 = 16,468,474.50/x
  3. Step 3: Cross multiply
    7,721,257.50x = 16,468,474.50 × 16,468,474.50
  4. Step 4: Simplify right side
    7,721,257.50x = 271,210,652,357,150.25
  5. Step 5: Solve for x
    x = 271,210,652,357,150.25/7,721,257.50
  6. Step 6: Final answer
    x = 35,125,192.02

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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.