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Finding the Third Proportional to 12,031,202 and 25,053,844

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Solution

The third proportional to 12,031,202 and 25,053,844 is: 52,172,268.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031,202 : 25,053,844 = 25,053,844 : x
  2. Step 2: Convert to fraction form
    12,031,202/25,053,844 = 25,053,844/x
  3. Step 3: Cross multiply
    12,031,202x = 25,053,844 × 25,053,844
  4. Step 4: Simplify right side
    12,031,202x = 627,695,099,176,336
  5. Step 5: Solve for x
    x = 627,695,099,176,336/12,031,202
  6. Step 6: Final answer
    x = 52,172,268.34

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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.