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Finding the Third Proportional to 8,663,689,309 and 18,988,264,624

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Solution

The third proportional to 8,663,689,309 and 18,988,264,624 is: 41,616,703,989.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,663,689,309 : 18,988,264,624 = 18,988,264,624 : x
  2. Step 2: Convert to fraction form
    8,663,689,309/18,988,264,624 = 18,988,264,624/x
  3. Step 3: Cross multiply
    8,663,689,309x = 18,988,264,624 × 18,988,264,624
  4. Step 4: Simplify right side
    8,663,689,309x = 360,554,193,431,049,863,168
  5. Step 5: Solve for x
    x = 360,554,193,431,049,863,168/8,663,689,309
  6. Step 6: Final answer
    x = 41,616,703,989.66

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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.