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Finding the Third Proportional to 9,758,346 and 13,041,009

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Solution

The third proportional to 9,758,346 and 13,041,009 is: 17,427,944.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758,346 : 13,041,009 = 13,041,009 : x
  2. Step 2: Convert to fraction form
    9,758,346/13,041,009 = 13,041,009/x
  3. Step 3: Cross multiply
    9,758,346x = 13,041,009 × 13,041,009
  4. Step 4: Simplify right side
    9,758,346x = 170,067,915,738,081
  5. Step 5: Solve for x
    x = 170,067,915,738,081/9,758,346
  6. Step 6: Final answer
    x = 17,427,944.83

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.