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Finding the Third Proportional to 9,438,388.50 and 14,921,875.50

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Solution

The third proportional to 9,438,388.50 and 14,921,875.50 is: 23,591,142.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438,388.50 : 14,921,875.50 = 14,921,875.50 : x
  2. Step 2: Convert to fraction form
    9,438,388.50/14,921,875.50 = 14,921,875.50/x
  3. Step 3: Cross multiply
    9,438,388.50x = 14,921,875.50 × 14,921,875.50
  4. Step 4: Simplify right side
    9,438,388.50x = 222,662,368,437,500.25
  5. Step 5: Solve for x
    x = 222,662,368,437,500.25/9,438,388.50
  6. Step 6: Final answer
    x = 23,591,142.54

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.