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Finding the Third Proportional to 9,993,411 and 21,699,189

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Solution

The third proportional to 9,993,411 and 21,699,189 is: 47,116,525.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993,411 : 21,699,189 = 21,699,189 : x
  2. Step 2: Convert to fraction form
    9,993,411/21,699,189 = 21,699,189/x
  3. Step 3: Cross multiply
    9,993,411x = 21,699,189 × 21,699,189
  4. Step 4: Simplify right side
    9,993,411x = 470,854,803,257,721
  5. Step 5: Solve for x
    x = 470,854,803,257,721/9,993,411
  6. Step 6: Final answer
    x = 47,116,525.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.