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Finding the Third Proportional to 11,428,268 and 24,406,448

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Solution

The third proportional to 11,428,268 and 24,406,448 is: 52,122,920.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,428,268 : 24,406,448 = 24,406,448 : x
  2. Step 2: Convert to fraction form
    11,428,268/24,406,448 = 24,406,448/x
  3. Step 3: Cross multiply
    11,428,268x = 24,406,448 × 24,406,448
  4. Step 4: Simplify right side
    11,428,268x = 595,674,703,976,704
  5. Step 5: Solve for x
    x = 595,674,703,976,704/11,428,268
  6. Step 6: Final answer
    x = 52,122,920.46

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Why These Related Problems?

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