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Finding the Third Proportional to 8,344,376,217 and 18,137,989,827

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Solution

The third proportional to 8,344,376,217 and 18,137,989,827 is: 39,426,155,581.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344,376,217 : 18,137,989,827 = 18,137,989,827 : x
  2. Step 2: Convert to fraction form
    8,344,376,217/18,137,989,827 = 18,137,989,827/x
  3. Step 3: Cross multiply
    8,344,376,217x = 18,137,989,827 × 18,137,989,827
  4. Step 4: Simplify right side
    8,344,376,217x = 328,986,674,964,355,481,600
  5. Step 5: Solve for x
    x = 328,986,674,964,355,481,600/8,344,376,217
  6. Step 6: Final answer
    x = 39,426,155,581.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.