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Finding the Third Proportional to 16,421,031 and 25,187,913

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Solution

The third proportional to 16,421,031 and 25,187,913 is: 38,635,269.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,421,031 : 25,187,913 = 25,187,913 : x
  2. Step 2: Convert to fraction form
    16,421,031/25,187,913 = 25,187,913/x
  3. Step 3: Cross multiply
    16,421,031x = 25,187,913 × 25,187,913
  4. Step 4: Simplify right side
    16,421,031x = 634,430,961,295,569
  5. Step 5: Solve for x
    x = 634,430,961,295,569/16,421,031
  6. Step 6: Final answer
    x = 38,635,269.69

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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.