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Finding the Third Proportional to 11,864,876,592 and 16,157,936,724

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Solution

The third proportional to 11,864,876,592 and 16,157,936,724 is: 22,004,351,849.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,864,876,592 : 16,157,936,724 = 16,157,936,724 : x
  2. Step 2: Convert to fraction form
    11,864,876,592/16,157,936,724 = 16,157,936,724/x
  3. Step 3: Cross multiply
    11,864,876,592x = 16,157,936,724 × 16,157,936,724
  4. Step 4: Simplify right side
    11,864,876,592x = 261,078,919,176,787,853,312
  5. Step 5: Solve for x
    x = 261,078,919,176,787,853,312/11,864,876,592
  6. Step 6: Final answer
    x = 22,004,351,849.12

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.