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Finding the Third Proportional to 5,305,684 and 11,368,448

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Solution

The third proportional to 5,305,684 and 11,368,448 is: 24,359,085.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305,684 : 11,368,448 = 11,368,448 : x
  2. Step 2: Convert to fraction form
    5,305,684/11,368,448 = 11,368,448/x
  3. Step 3: Cross multiply
    5,305,684x = 11,368,448 × 11,368,448
  4. Step 4: Simplify right side
    5,305,684x = 129,241,609,928,704
  5. Step 5: Solve for x
    x = 129,241,609,928,704/5,305,684
  6. Step 6: Final answer
    x = 24,359,085.45

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.