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Finding the Third Proportional to 307,431,644 and 663,850,446

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Solution

The third proportional to 307,431,644 and 663,850,446 is: 1,433,480,981.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,431,644 : 663,850,446 = 663,850,446 : x
  2. Step 2: Convert to fraction form
    307,431,644/663,850,446 = 663,850,446/x
  3. Step 3: Cross multiply
    307,431,644x = 663,850,446 × 663,850,446
  4. Step 4: Simplify right side
    307,431,644x = 440,697,414,654,398,912
  5. Step 5: Solve for x
    x = 440,697,414,654,398,912/307,431,644
  6. Step 6: Final answer
    x = 1,433,480,981.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.