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Finding the Third Proportional to 9,823,220 and 20,664,386

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Solution

The third proportional to 9,823,220 and 20,664,386 is: 43,470,150.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823,220 : 20,664,386 = 20,664,386 : x
  2. Step 2: Convert to fraction form
    9,823,220/20,664,386 = 20,664,386/x
  3. Step 3: Cross multiply
    9,823,220x = 20,664,386 × 20,664,386
  4. Step 4: Simplify right side
    9,823,220x = 427,016,848,756,996
  5. Step 5: Solve for x
    x = 427,016,848,756,996/9,823,220
  6. Step 6: Final answer
    x = 43,470,150.19

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.