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Finding the Third Proportional to 307,822,884 and 677,209,734

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Solution

The third proportional to 307,822,884 and 677,209,734 is: 1,489,860,071.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,822,884 : 677,209,734 = 677,209,734 : x
  2. Step 2: Convert to fraction form
    307,822,884/677,209,734 = 677,209,734/x
  3. Step 3: Cross multiply
    307,822,884x = 677,209,734 × 677,209,734
  4. Step 4: Simplify right side
    307,822,884x = 458,613,023,824,350,784
  5. Step 5: Solve for x
    x = 458,613,023,824,350,784/307,822,884
  6. Step 6: Final answer
    x = 1,489,860,071.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.