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Finding the Third Proportional to 822,337,620 and 1,795,366,748

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Solution

The third proportional to 822,337,620 and 1,795,366,748 is: 3,919,730,389.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,337,620 : 1,795,366,748 = 1,795,366,748 : x
  2. Step 2: Convert to fraction form
    822,337,620/1,795,366,748 = 1,795,366,748/x
  3. Step 3: Cross multiply
    822,337,620x = 1,795,366,748 × 1,795,366,748
  4. Step 4: Simplify right side
    822,337,620x = 3,223,341,759,824,095,744
  5. Step 5: Solve for x
    x = 3,223,341,759,824,095,744/822,337,620
  6. Step 6: Final answer
    x = 3,919,730,389.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.