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Finding the Third Proportional to 4,314,460 and 9,381,968

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Solution

The third proportional to 4,314,460 and 9,381,968 is: 20,401,469.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314,460 : 9,381,968 = 9,381,968 : x
  2. Step 2: Convert to fraction form
    4,314,460/9,381,968 = 9,381,968/x
  3. Step 3: Cross multiply
    4,314,460x = 9,381,968 × 9,381,968
  4. Step 4: Simplify right side
    4,314,460x = 88,021,323,553,024
  5. Step 5: Solve for x
    x = 88,021,323,553,024/4,314,460
  6. Step 6: Final answer
    x = 20,401,469.37

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