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Finding the Third Proportional to 5,757,435 and 12,312,031

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Solution

The third proportional to 5,757,435 and 12,312,031 is: 26,328,757.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757,435 : 12,312,031 = 12,312,031 : x
  2. Step 2: Convert to fraction form
    5,757,435/12,312,031 = 12,312,031/x
  3. Step 3: Cross multiply
    5,757,435x = 12,312,031 × 12,312,031
  4. Step 4: Simplify right side
    5,757,435x = 151,586,107,344,961
  5. Step 5: Solve for x
    x = 151,586,107,344,961/5,757,435
  6. Step 6: Final answer
    x = 26,328,757.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.