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Finding the Third Proportional to 12,197,412 and 16,261,008

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Solution

The third proportional to 12,197,412 and 16,261,008 is: 21,678,400.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197,412 : 16,261,008 = 16,261,008 : x
  2. Step 2: Convert to fraction form
    12,197,412/16,261,008 = 16,261,008/x
  3. Step 3: Cross multiply
    12,197,412x = 16,261,008 × 16,261,008
  4. Step 4: Simplify right side
    12,197,412x = 264,420,381,176,064
  5. Step 5: Solve for x
    x = 264,420,381,176,064/12,197,412
  6. Step 6: Final answer
    x = 21,678,400.40

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.