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Finding the Third Proportional to 291,296,256 and 623,912,058

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Solution

The third proportional to 291,296,256 and 623,912,058 is: 1,336,324,268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,296,256 : 623,912,058 = 623,912,058 : x
  2. Step 2: Convert to fraction form
    291,296,256/623,912,058 = 623,912,058/x
  3. Step 3: Cross multiply
    291,296,256x = 623,912,058 × 623,912,058
  4. Step 4: Simplify right side
    291,296,256x = 389,266,256,117,795,392
  5. Step 5: Solve for x
    x = 389,266,256,117,795,392/291,296,256
  6. Step 6: Final answer
    x = 1,336,324,268.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.