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Finding the Third Proportional to 4,382,980,714 and 9,386,553,620

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Solution

The third proportional to 4,382,980,714 and 9,386,553,620 is: 20,102,162,115.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,382,980,714 : 9,386,553,620 = 9,386,553,620 : x
  2. Step 2: Convert to fraction form
    4,382,980,714/9,386,553,620 = 9,386,553,620/x
  3. Step 3: Cross multiply
    4,382,980,714x = 9,386,553,620 × 9,386,553,620
  4. Step 4: Simplify right side
    4,382,980,714x = 88,107,388,861,135,110,144
  5. Step 5: Solve for x
    x = 88,107,388,861,135,110,144/4,382,980,714
  6. Step 6: Final answer
    x = 20,102,162,115.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.