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Finding the Third Proportional to 11,652,663 and 17,640,911

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Solution

The third proportional to 11,652,663 and 17,640,911 is: 26,706,491.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652,663 : 17,640,911 = 17,640,911 : x
  2. Step 2: Convert to fraction form
    11,652,663/17,640,911 = 17,640,911/x
  3. Step 3: Cross multiply
    11,652,663x = 17,640,911 × 17,640,911
  4. Step 4: Simplify right side
    11,652,663x = 311,201,740,909,921
  5. Step 5: Solve for x
    x = 311,201,740,909,921/11,652,663
  6. Step 6: Final answer
    x = 26,706,491.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.