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Finding the Third Proportional to 8,663,688,942 and 18,988,263,876

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Solution

The third proportional to 8,663,688,942 and 18,988,263,876 is: 41,616,702,473.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,663,688,942 : 18,988,263,876 = 18,988,263,876 : x
  2. Step 2: Convert to fraction form
    8,663,688,942/18,988,263,876 = 18,988,263,876/x
  3. Step 3: Cross multiply
    8,663,688,942x = 18,988,263,876 × 18,988,263,876
  4. Step 4: Simplify right side
    8,663,688,942x = 360,554,165,024,606,519,296
  5. Step 5: Solve for x
    x = 360,554,165,024,606,519,296/8,663,688,942
  6. Step 6: Final answer
    x = 41,616,702,473.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.