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Finding the Third Proportional to 10,485,790.50 and 14,166,985.50

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Solution

The third proportional to 10,485,790.50 and 14,166,985.50 is: 19,140,519.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485,790.50 : 14,166,985.50 = 14,166,985.50 : x
  2. Step 2: Convert to fraction form
    10,485,790.50/14,166,985.50 = 14,166,985.50/x
  3. Step 3: Cross multiply
    10,485,790.50x = 14,166,985.50 × 14,166,985.50
  4. Step 4: Simplify right side
    10,485,790.50x = 200,703,478,157,210.25
  5. Step 5: Solve for x
    x = 200,703,478,157,210.25/10,485,790.50
  6. Step 6: Final answer
    x = 19,140,519.56

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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.