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Finding the Third Proportional to 11,428,204.13 and 24,406,308.38

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Solution

The third proportional to 11,428,204.13 and 24,406,308.38 is: 52,122,615.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,428,204.13 : 24,406,308.38 = 24,406,308.38 : x
  2. Step 2: Convert to fraction form
    11,428,204.13/24,406,308.38 = 24,406,308.38/x
  3. Step 3: Cross multiply
    11,428,204.13x = 24,406,308.38 × 24,406,308.38
  4. Step 4: Simplify right side
    11,428,204.13x = 595,667,888,495,595.12
  5. Step 5: Solve for x
    x = 595,667,888,495,595.12/11,428,204.13
  6. Step 6: Final answer
    x = 52,122,615.42

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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.