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Finding the Third Proportional to 9,803,835 and 21,542,922

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Solution

The third proportional to 9,803,835 and 21,542,922 is: 47,338,361.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803,835 : 21,542,922 = 21,542,922 : x
  2. Step 2: Convert to fraction form
    9,803,835/21,542,922 = 21,542,922/x
  3. Step 3: Cross multiply
    9,803,835x = 21,542,922 × 21,542,922
  4. Step 4: Simplify right side
    9,803,835x = 464,097,488,298,084
  5. Step 5: Solve for x
    x = 464,097,488,298,084/9,803,835
  6. Step 6: Final answer
    x = 47,338,361.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.