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Finding the Third Proportional to 30,283,416,794 and 66,266,006,918

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Solution

The third proportional to 30,283,416,794 and 66,266,006,918 is: 145,002,913,730.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,283,416,794 : 66,266,006,918 = 66,266,006,918 : x
  2. Step 2: Convert to fraction form
    30,283,416,794/66,266,006,918 = 66,266,006,918/x
  3. Step 3: Cross multiply
    30,283,416,794x = 66,266,006,918 × 66,266,006,918
  4. Step 4: Simplify right side
    30,283,416,794x = 4,391,183,672,856,423,694,336
  5. Step 5: Solve for x
    x = 4,391,183,672,856,423,694,336/30,283,416,794
  6. Step 6: Final answer
    x = 145,002,913,730.87

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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.