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Finding the Third Proportional to 13,943,754 and 30,202,996

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Solution

The third proportional to 13,943,754 and 30,202,996 is: 65,421,475.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,943,754 : 30,202,996 = 30,202,996 : x
  2. Step 2: Convert to fraction form
    13,943,754/30,202,996 = 30,202,996/x
  3. Step 3: Cross multiply
    13,943,754x = 30,202,996 × 30,202,996
  4. Step 4: Simplify right side
    13,943,754x = 912,220,967,376,016
  5. Step 5: Solve for x
    x = 912,220,967,376,016/13,943,754
  6. Step 6: Final answer
    x = 65,421,475.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.