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Finding the Third Proportional to 13,930,946 and 21,526,851

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Solution

The third proportional to 13,930,946 and 21,526,851 is: 33,264,454.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930,946 : 21,526,851 = 21,526,851 : x
  2. Step 2: Convert to fraction form
    13,930,946/21,526,851 = 21,526,851/x
  3. Step 3: Cross multiply
    13,930,946x = 21,526,851 × 21,526,851
  4. Step 4: Simplify right side
    13,930,946x = 463,405,313,976,201
  5. Step 5: Solve for x
    x = 463,405,313,976,201/13,930,946
  6. Step 6: Final answer
    x = 33,264,454.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.