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Finding the Third Proportional to 12,031,622 and 19,751,037

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Solution

The third proportional to 12,031,622 and 19,751,037 is: 32,423,181.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031,622 : 19,751,037 = 19,751,037 : x
  2. Step 2: Convert to fraction form
    12,031,622/19,751,037 = 19,751,037/x
  3. Step 3: Cross multiply
    12,031,622x = 19,751,037 × 19,751,037
  4. Step 4: Simplify right side
    12,031,622x = 390,103,462,575,369
  5. Step 5: Solve for x
    x = 390,103,462,575,369/12,031,622
  6. Step 6: Final answer
    x = 32,423,181.39

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.