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Finding the Third Proportional to 303,246,320 and 433,346,013

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Solution

The third proportional to 303,246,320 and 433,346,013 is: 619,261,486.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,246,320 : 433,346,013 = 433,346,013 : x
  2. Step 2: Convert to fraction form
    303,246,320/433,346,013 = 433,346,013/x
  3. Step 3: Cross multiply
    303,246,320x = 433,346,013 × 433,346,013
  4. Step 4: Simplify right side
    303,246,320x = 187,788,766,982,996,160
  5. Step 5: Solve for x
    x = 187,788,766,982,996,160/303,246,320
  6. Step 6: Final answer
    x = 619,261,486.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.