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Finding the Third Proportional to 1,658,777,157 and 3,563,721,333

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Solution

The third proportional to 1,658,777,157 and 3,563,721,333 is: 7,656,308,555.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658,777,157 : 3,563,721,333 = 3,563,721,333 : x
  2. Step 2: Convert to fraction form
    1,658,777,157/3,563,721,333 = 3,563,721,333/x
  3. Step 3: Cross multiply
    1,658,777,157x = 3,563,721,333 × 3,563,721,333
  4. Step 4: Simplify right side
    1,658,777,157x = 12,700,109,739,279,296,512
  5. Step 5: Solve for x
    x = 12,700,109,739,279,296,512/1,658,777,157
  6. Step 6: Final answer
    x = 7,656,308,555.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.