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Finding the Third Proportional to 6,146,837 and 13,406,107.50

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Solution

The third proportional to 6,146,837 and 13,406,107.50 is: 29,238,406.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146,837 : 13,406,107.50 = 13,406,107.50 : x
  2. Step 2: Convert to fraction form
    6,146,837/13,406,107.50 = 13,406,107.50/x
  3. Step 3: Cross multiply
    6,146,837x = 13,406,107.50 × 13,406,107.50
  4. Step 4: Simplify right side
    6,146,837x = 179,723,718,301,556.25
  5. Step 5: Solve for x
    x = 179,723,718,301,556.25/6,146,837
  6. Step 6: Final answer
    x = 29,238,406.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.