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Finding the Third Proportional to 12,635,840 and 19,410,024

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Solution

The third proportional to 12,635,840 and 19,410,024 is: 29,815,907.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,635,840 : 19,410,024 = 19,410,024 : x
  2. Step 2: Convert to fraction form
    12,635,840/19,410,024 = 19,410,024/x
  3. Step 3: Cross multiply
    12,635,840x = 19,410,024 × 19,410,024
  4. Step 4: Simplify right side
    12,635,840x = 376,749,031,680,576
  5. Step 5: Solve for x
    x = 376,749,031,680,576/12,635,840
  6. Step 6: Final answer
    x = 29,815,907.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.