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Finding the Third Proportional to 10,485,606 and 14,166,705.75

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Solution

The third proportional to 10,485,606 and 14,166,705.75 is: 19,140,100.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485,606 : 14,166,705.75 = 14,166,705.75 : x
  2. Step 2: Convert to fraction form
    10,485,606/14,166,705.75 = 14,166,705.75/x
  3. Step 3: Cross multiply
    10,485,606x = 14,166,705.75 × 14,166,705.75
  4. Step 4: Simplify right side
    10,485,606x = 200,695,551,807,083.06
  5. Step 5: Solve for x
    x = 200,695,551,807,083.06/10,485,606
  6. Step 6: Final answer
    x = 19,140,100.42

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Why These Related Problems?

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