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Finding the Third Proportional to 10,988,298 and 16,164,675

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Solution

The third proportional to 10,988,298 and 16,164,675 is: 23,779,544.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,988,298 : 16,164,675 = 16,164,675 : x
  2. Step 2: Convert to fraction form
    10,988,298/16,164,675 = 16,164,675/x
  3. Step 3: Cross multiply
    10,988,298x = 16,164,675 × 16,164,675
  4. Step 4: Simplify right side
    10,988,298x = 261,296,717,855,625
  5. Step 5: Solve for x
    x = 261,296,717,855,625/10,988,298
  6. Step 6: Final answer
    x = 23,779,544.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.