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Finding the Third Proportional to 7,833,555 and 11,975,409

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Solution

The third proportional to 7,833,555 and 11,975,409 is: 18,307,195.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833,555 : 11,975,409 = 11,975,409 : x
  2. Step 2: Convert to fraction form
    7,833,555/11,975,409 = 11,975,409/x
  3. Step 3: Cross multiply
    7,833,555x = 11,975,409 × 11,975,409
  4. Step 4: Simplify right side
    7,833,555x = 143,410,420,717,281
  5. Step 5: Solve for x
    x = 143,410,420,717,281/7,833,555
  6. Step 6: Final answer
    x = 18,307,195.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.