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Finding the Third Proportional to 5,658,074 and 11,577,614

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Solution

The third proportional to 5,658,074 and 11,577,614 is: 23,690,242.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658,074 : 11,577,614 = 11,577,614 : x
  2. Step 2: Convert to fraction form
    5,658,074/11,577,614 = 11,577,614/x
  3. Step 3: Cross multiply
    5,658,074x = 11,577,614 × 11,577,614
  4. Step 4: Simplify right side
    5,658,074x = 134,041,145,932,996
  5. Step 5: Solve for x
    x = 134,041,145,932,996/5,658,074
  6. Step 6: Final answer
    x = 23,690,242.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.