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Finding the Third Proportional to 4,382,980,716 and 9,386,553,624

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Solution

The third proportional to 4,382,980,716 and 9,386,553,624 is: 20,102,162,123.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,382,980,716 : 9,386,553,624 = 9,386,553,624 : x
  2. Step 2: Convert to fraction form
    4,382,980,716/9,386,553,624 = 9,386,553,624/x
  3. Step 3: Cross multiply
    4,382,980,716x = 9,386,553,624 × 9,386,553,624
  4. Step 4: Simplify right side
    4,382,980,716x = 88,107,388,936,227,536,896
  5. Step 5: Solve for x
    x = 88,107,388,936,227,536,896/4,382,980,716
  6. Step 6: Final answer
    x = 20,102,162,123.28

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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.