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Finding the Third Proportional to 13,734,773 and 21,257,351

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Solution

The third proportional to 13,734,773 and 21,257,351 is: 32,900,068.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734,773 : 21,257,351 = 21,257,351 : x
  2. Step 2: Convert to fraction form
    13,734,773/21,257,351 = 21,257,351/x
  3. Step 3: Cross multiply
    13,734,773x = 21,257,351 × 21,257,351
  4. Step 4: Simplify right side
    13,734,773x = 451,874,971,537,201
  5. Step 5: Solve for x
    x = 451,874,971,537,201/13,734,773
  6. Step 6: Final answer
    x = 32,900,068.43

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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.