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Finding the Third Proportional to 11,428,264 and 24,406,440

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Solution

The third proportional to 11,428,264 and 24,406,440 is: 52,122,904.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,428,264 : 24,406,440 = 24,406,440 : x
  2. Step 2: Convert to fraction form
    11,428,264/24,406,440 = 24,406,440/x
  3. Step 3: Cross multiply
    11,428,264x = 24,406,440 × 24,406,440
  4. Step 4: Simplify right side
    11,428,264x = 595,674,313,473,600
  5. Step 5: Solve for x
    x = 595,674,313,473,600/11,428,264
  6. Step 6: Final answer
    x = 52,122,904.54

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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.