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Finding the Third Proportional to 10,485,762.50 and 14,166,896

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Solution

The third proportional to 10,485,762.50 and 14,166,896 is: 19,140,328.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485,762.50 : 14,166,896 = 14,166,896 : x
  2. Step 2: Convert to fraction form
    10,485,762.50/14,166,896 = 14,166,896/x
  3. Step 3: Cross multiply
    10,485,762.50x = 14,166,896 × 14,166,896
  4. Step 4: Simplify right side
    10,485,762.50x = 200,700,942,274,816
  5. Step 5: Solve for x
    x = 200,700,942,274,816/10,485,762.50
  6. Step 6: Final answer
    x = 19,140,328.83

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.