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Finding the Third Proportional to 9,821,932 and 21,427,968

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Solution

The third proportional to 9,821,932 and 21,427,968 is: 46,748,217.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821,932 : 21,427,968 = 21,427,968 : x
  2. Step 2: Convert to fraction form
    9,821,932/21,427,968 = 21,427,968/x
  3. Step 3: Cross multiply
    9,821,932x = 21,427,968 × 21,427,968
  4. Step 4: Simplify right side
    9,821,932x = 459,157,812,609,024
  5. Step 5: Solve for x
    x = 459,157,812,609,024/9,821,932
  6. Step 6: Final answer
    x = 46,748,217.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.