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Finding the Third Proportional to 12,031,309 and 25,054,057

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Solution

The third proportional to 12,031,309 and 25,054,057 is: 52,172,691.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031,309 : 25,054,057 = 25,054,057 : x
  2. Step 2: Convert to fraction form
    12,031,309/25,054,057 = 25,054,057/x
  3. Step 3: Cross multiply
    12,031,309x = 25,054,057 × 25,054,057
  4. Step 4: Simplify right side
    12,031,309x = 627,705,772,159,249
  5. Step 5: Solve for x
    x = 627,705,772,159,249/12,031,309
  6. Step 6: Final answer
    x = 52,172,691.45

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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.