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Finding the Third Proportional to 10,627,830 and 16,919,172

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Solution

The third proportional to 10,627,830 and 16,919,172 is: 26,934,791.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,627,830 : 16,919,172 = 16,919,172 : x
  2. Step 2: Convert to fraction form
    10,627,830/16,919,172 = 16,919,172/x
  3. Step 3: Cross multiply
    10,627,830x = 16,919,172 × 16,919,172
  4. Step 4: Simplify right side
    10,627,830x = 286,258,381,165,584
  5. Step 5: Solve for x
    x = 286,258,381,165,584/10,627,830
  6. Step 6: Final answer
    x = 26,934,791.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.