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Finding the Third Proportional to 11,428,211 and 24,406,323

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Solution

The third proportional to 11,428,211 and 24,406,323 is: 52,122,646.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,428,211 : 24,406,323 = 24,406,323 : x
  2. Step 2: Convert to fraction form
    11,428,211/24,406,323 = 24,406,323/x
  3. Step 3: Cross multiply
    11,428,211x = 24,406,323 × 24,406,323
  4. Step 4: Simplify right side
    11,428,211x = 595,668,602,380,329
  5. Step 5: Solve for x
    x = 595,668,602,380,329/11,428,211
  6. Step 6: Final answer
    x = 52,122,646.53

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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.