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Finding the Third Proportional to 11,802,049,841 and 24,078,186,951

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Solution

The third proportional to 11,802,049,841 and 24,078,186,951 is: 49,123,592,482.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802,049,841 : 24,078,186,951 = 24,078,186,951 : x
  2. Step 2: Convert to fraction form
    11,802,049,841/24,078,186,951 = 24,078,186,951/x
  3. Step 3: Cross multiply
    11,802,049,841x = 24,078,186,951 × 24,078,186,951
  4. Step 4: Simplify right side
    11,802,049,841x = 579,759,086,847,306,694,656
  5. Step 5: Solve for x
    x = 579,759,086,847,306,694,656/11,802,049,841
  6. Step 6: Final answer
    x = 49,123,592,482.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.