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Finding the Third Proportional to 10,055,424 and 21,704,448

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Solution

The third proportional to 10,055,424 and 21,704,448 is: 46,848,652.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,055,424 : 21,704,448 = 21,704,448 : x
  2. Step 2: Convert to fraction form
    10,055,424/21,704,448 = 21,704,448/x
  3. Step 3: Cross multiply
    10,055,424x = 21,704,448 × 21,704,448
  4. Step 4: Simplify right side
    10,055,424x = 471,083,062,984,704
  5. Step 5: Solve for x
    x = 471,083,062,984,704/10,055,424
  6. Step 6: Final answer
    x = 46,848,652.33

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.