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Finding the Third Proportional to 12,031,317 and 25,054,071

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Solution

The third proportional to 12,031,317 and 25,054,071 is: 52,172,715.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031,317 : 25,054,071 = 25,054,071 : x
  2. Step 2: Convert to fraction form
    12,031,317/25,054,071 = 25,054,071/x
  3. Step 3: Cross multiply
    12,031,317x = 25,054,071 × 25,054,071
  4. Step 4: Simplify right side
    12,031,317x = 627,706,473,673,041
  5. Step 5: Solve for x
    x = 627,706,473,673,041/12,031,317
  6. Step 6: Final answer
    x = 52,172,715.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.