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Finding the Third Proportional to 333,082,418 and 721,768,420

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Solution

The third proportional to 333,082,418 and 721,768,420 is: 1,564,026,270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,082,418 : 721,768,420 = 721,768,420 : x
  2. Step 2: Convert to fraction form
    333,082,418/721,768,420 = 721,768,420/x
  3. Step 3: Cross multiply
    333,082,418x = 721,768,420 × 721,768,420
  4. Step 4: Simplify right side
    333,082,418x = 520,949,652,109,296,384
  5. Step 5: Solve for x
    x = 520,949,652,109,296,384/333,082,418
  6. Step 6: Final answer
    x = 1,564,026,270.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.