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Finding the Third Proportional to 10,500,804 and 17,146,755

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Solution

The third proportional to 10,500,804 and 17,146,755 is: 27,998,923.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500,804 : 17,146,755 = 17,146,755 : x
  2. Step 2: Convert to fraction form
    10,500,804/17,146,755 = 17,146,755/x
  3. Step 3: Cross multiply
    10,500,804x = 17,146,755 × 17,146,755
  4. Step 4: Simplify right side
    10,500,804x = 294,011,207,030,025
  5. Step 5: Solve for x
    x = 294,011,207,030,025/10,500,804
  6. Step 6: Final answer
    x = 27,998,923.42

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.