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Finding the Third Proportional to 4,814,741.90 and 9,797,634.53

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Solution

The third proportional to 4,814,741.90 and 9,797,634.53 is: 19,937,443.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814,741.90 : 9,797,634.53 = 9,797,634.53 : x
  2. Step 2: Convert to fraction form
    4,814,741.90/9,797,634.53 = 9,797,634.53/x
  3. Step 3: Cross multiply
    4,814,741.90x = 9,797,634.53 × 9,797,634.53
  4. Step 4: Simplify right side
    4,814,741.90x = 95,993,642,288,334.86
  5. Step 5: Solve for x
    x = 95,993,642,288,334.86/4,814,741.90
  6. Step 6: Final answer
    x = 19,937,443.01

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.